150684012864 has 252 divisors, whose sum is σ = 548100247968. Its totient is φ = 39138624000.

The previous prime is 150684012863. The next prime is 150684012877. The reversal of 150684012864 is 468210486051.

It is a happy number.

150684012864 is a `hidden beast` number, since 1 + 506 + 84 + 0 + 1 + 2 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150684012863) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67789 + ... + 553139.

It is an arithmetic number, because the mean of its divisors is an integer number (2175000984).

Almost surely, 2^150684012864 is an apocalyptic number.

150684012864 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 150684012864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274050123984).

150684012864 is an abundant number, since it is smaller than the sum of its proper divisors (397416235104).

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

150684012864 is a wasteful number, since it uses less digits than its factorization.

150684012864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485394 (or 485374 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 150684012864 in words is "one hundred fifty billion, six hundred eighty-four million, twelve thousand, eight hundred sixty-four".