149759549028864 has 480 divisors, whose sum is σ = 474793085422656. Its totient is φ = 46963317473280.

The previous prime is 149759549028799. The next prime is 149759549028919. The reversal of 149759549028864 is 468820945957941.

149759549028864 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 5 + 9 + 549 + 0 + 2 + 8 + 8 + 64 = 666.

149759549028864 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (81).

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, 5408225259 + ... + 5408252949.

Almost surely, 2^{149759549028864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149759549028864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237396542711328).

149759549028864 is an abundant number, since it is smaller than the sum of its proper divisors (325033536393792).

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

149759549028864 is an equidigital number, since it uses as much as digits as its factorization.

149759549028864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30298 (or 30270 counting only the distinct ones).

The product of its (nonzero) digits is 6270566400, while the sum is 81.

The spelling of 149759549028864 in words is "one hundred forty-nine trillion, seven hundred fifty-nine billion, five hundred forty-nine million, twenty-eight thousand, eight hundred sixty-four".