151198948712448 has 1568 divisors, whose sum is σ = 567255331376832. Its totient is φ = 39214330675200.

The previous prime is 151198948712443. The next prime is 151198948712549. The reversal of 151198948712448 is 844217849891151.

151198948712448 is a `hidden beast` number, since 1 + 5 + 1 + 1 + 9 + 8 + 94 + 87 + 12 + 448 = 666.

It is a super-2 number, since 2×151198948712448² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151198948712443) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33150392088 + ... + 33150396648.

Almost surely, 2^{151198948712448} is an apocalyptic number.

151198948712448 is a gapful number since it is divisible by the number (18) 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 151198948712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283627665688416).

151198948712448 is an abundant number, since it is smaller than the sum of its proper divisors (416056382664384).

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

151198948712448 is an frugal number, since it uses more digits than its factorization.

151198948712448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4647 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 72.

The spelling of 151198948712448 in words is "one hundred fifty-one trillion, one hundred ninety-eight billion, nine hundred forty-eight million, seven hundred twelve thousand, four hundred forty-eight".