152464100432016 has 80 divisors (see below), whose sum is σ = 397604080013760. Its totient is φ = 50339553976320.

The previous prime is 152464100431961. The next prime is 152464100432093. The reversal of 152464100432016 is 610234001464251.

It is a super-2 number, since 2×152464100432016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425161 + ... + 17467368.

It is an arithmetic number, because the mean of its divisors is an integer number (4970051000172).

Almost surely, 2^{152464100432016} is an apocalyptic number.

152464100432016 is a gapful number since it is divisible by the number (16) 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 152464100432016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198802040006880).

152464100432016 is an abundant number, since it is smaller than the sum of its proper divisors (245139979581744).

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

152464100432016 is a wasteful number, since it uses less digits than its factorization.

152464100432016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17894224 (or 17894218 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 152464100432016 its reverse (610234001464251), we get a palindrome (762698101896267).

The spelling of 152464100432016 in words is "one hundred fifty-two trillion, four hundred sixty-four billion, one hundred million, four hundred thirty-two thousand, sixteen".