149592756956112 has 200 divisors, whose sum is σ = 433347587148960. Its totient is φ = 49820187836160.

The previous prime is 149592756956107. The next prime is 149592756956233. The reversal of 149592756956112 is 211659657295941.

149592756956112 is a `hidden beast` number, since 1 + 4 + 9 + 5 + 9 + 2 + 7 + 56 + 9 + 561 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16307937958 + ... + 16307947130.

Almost surely, 2^{149592756956112} is an apocalyptic number.

149592756956112 is a gapful number since it is divisible by the number (12) 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 149592756956112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216673793574480).

149592756956112 is an abundant number, since it is smaller than the sum of its proper divisors (283754830192848).

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

149592756956112 is a wasteful number, since it uses less digits than its factorization.

149592756956112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18943 (or 18928 counting only the distinct ones).

The product of its digits is 367416000, while the sum is 72.

The spelling of 149592756956112 in words is "one hundred forty-nine trillion, five hundred ninety-two billion, seven hundred fifty-six million, nine hundred fifty-six thousand, one hundred twelve".