159714358457472 has 1536 divisors, whose sum is σ = 593489203200000. Its totient is φ = 41395241631744.

The previous prime is 159714358457471. The next prime is 159714358457473. The reversal of 159714358457472 is 274754853417951.

159714358457472 is a `hidden beast` number, since 1 + 5 + 9 + 7 + 1 + 43 + 5 + 8 + 4 + 574 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (159714358457471) and next prime (159714358457473).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 159714358457472.

It is not an unprimeable number, because it can be changed into a prime (159714358457471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77193985654 + ... + 77193987722.

It is an arithmetic number, because the mean of its divisors is an integer number (386386200000).

Almost surely, 2^{159714358457472} is an apocalyptic number.

159714358457472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159714358457472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296744601600000).

159714358457472 is an abundant number, since it is smaller than the sum of its proper divisors (433774844742528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159714358457472 is a wasteful number, since it uses less digits than its factorization.

159714358457472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2412 counting only the distinct ones).

The product of its digits is 1185408000, while the sum is 72.

The spelling of 159714358457472 in words is "one hundred fifty-nine trillion, seven hundred fourteen billion, three hundred fifty-eight million, four hundred fifty-seven thousand, four hundred seventy-two".