149411931264 has 320 divisors, whose sum is σ = 471128697600. Its totient is φ = 46872483840.

The previous prime is 149411931259. The next prime is 149411931271. The reversal of 149411931264 is 462139114941.

It is a happy number.

149411931264 is a `hidden beast` number, since 1 + 494 + 1 + 1 + 93 + 12 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30925329 + ... + 30930159.

It is an arithmetic number, because the mean of its divisors is an integer number (1472277180).

Almost surely, 2^149411931264 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 149411931264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235564348800).

149411931264 is an abundant number, since it is smaller than the sum of its proper divisors (321716766336).

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

149411931264 is a wasteful number, since it uses less digits than its factorization.

149411931264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033 (or 5012 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 149411931264 in words is "one hundred forty-nine billion, four hundred eleven million, nine hundred thirty-one thousand, two hundred sixty-four".