150674631907968 has 384 divisors, whose sum is σ = 516510530190720. Its totient is φ = 41261208772608.

The previous prime is 150674631907939. The next prime is 150674631907979. The reversal of 150674631907968 is 869709136476051.

150674631907968 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 7 + 463 + 1 + 90 + 79 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 150674631907896 and 150674631907905.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16222030 + ... + 23759282.

It is an arithmetic number, because the mean of its divisors is an integer number (1345079505705).

Almost surely, 2^{150674631907968} is an apocalyptic number.

150674631907968 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 150674631907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258255265095360).

150674631907968 is an abundant number, since it is smaller than the sum of its proper divisors (365835898282752).

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

150674631907968 is a wasteful number, since it uses less digits than its factorization.

150674631907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537384 (or 7537369 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 150674631907968 in words is "one hundred fifty trillion, six hundred seventy-four billion, six hundred thirty-one million, nine hundred seven thousand, nine hundred sixty-eight".