151385644738944 has 1920 divisors, whose sum is σ = 610084629475200. Its totient is φ = 36739248537600.

The previous prime is 151385644738897. The next prime is 151385644738949. The reversal of 151385644738944 is 449837446583151.

151385644738944 is a `hidden beast` number, since 1 + 5 + 1 + 3 + 8 + 5 + 64 + 473 + 8 + 94 + 4 = 666.

It is a super-2 number, since 2×151385644738944² (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 (151385644738949) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7751034459 + ... + 7751053989.

It is an arithmetic number, because the mean of its divisors is an integer number (317752411185).

Almost surely, 2^{151385644738944} is an apocalyptic number.

151385644738944 is a gapful number since it is divisible by the number (14) 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 151385644738944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305042314737600).

151385644738944 is an abundant number, since it is smaller than the sum of its proper divisors (458698984736256).

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

151385644738944 is a wasteful number, since it uses less digits than its factorization.

151385644738944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19674 (or 19646 counting only the distinct ones).

The product of its digits is 1393459200, while the sum is 72.

The spelling of 151385644738944 in words is "one hundred fifty-one trillion, three hundred eighty-five billion, six hundred forty-four million, seven hundred thirty-eight thousand, nine hundred forty-four".