150434989764864 has 432 divisors, whose sum is σ = 519095568600000. Its totient is φ = 38323992526848.

The previous prime is 150434989764863. The next prime is 150434989764887. The reversal of 150434989764864 is 468467989434051.

It is a super-2 number, since 2×150434989764864² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 150434989764864.

It is not an unprimeable number, because it can be changed into a prime (150434989764863) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5967012 + ... + 18343260.

It is an arithmetic number, because the mean of its divisors is an integer number (1201610112500).

Almost surely, 2^{150434989764864} is an apocalyptic number.

150434989764864 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 150434989764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259547784300000).

150434989764864 is an abundant number, since it is smaller than the sum of its proper divisors (368660578835136).

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

150434989764864 is a wasteful number, since it uses less digits than its factorization.

150434989764864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12376318 (or 12376297 counting only the distinct ones).

The product of its (nonzero) digits is 5016453120, while the sum is 78.

The spelling of 150434989764864 in words is "one hundred fifty trillion, four hundred thirty-four billion, nine hundred eighty-nine million, seven hundred sixty-four thousand, eight hundred sixty-four".