150646150954368 has 640 divisors, whose sum is σ = 474644513772000. Its totient is φ = 47298082111488.

The previous prime is 150646150954363. The next prime is 150646150954399. The reversal of 150646150954368 is 863459051646051.

150646150954368 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 4 + 61 + 50 + 95 + 436 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150646150954363) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37132398996 + ... + 37132403052.

Almost surely, 2^{150646150954368} is an apocalyptic number.

150646150954368 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 150646150954368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237322256886000).

150646150954368 is an abundant number, since it is smaller than the sum of its proper divisors (323998362817632).

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

150646150954368 is a wasteful number, since it uses less digits than its factorization.

150646150954368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5144 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 150646150954368 in words is "one hundred fifty trillion, six hundred forty-six billion, one hundred fifty million, nine hundred fifty-four thousand, three hundred sixty-eight".