149646951986112 has 504 divisors, whose sum is σ = 528519181632624. Its totient is φ = 40225819705344.

The previous prime is 149646951986089. The next prime is 149646951986113. The reversal of 149646951986112 is 211689159646941.

149646951986112 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 46 + 9 + 519 + 8 + 61 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×149646951986112² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149646951986113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1284387763 + ... + 1284504269.

It is an arithmetic number, because the mean of its divisors is an integer number (1048649169906).

Almost surely, 2^{149646951986112} is an apocalyptic number.

149646951986112 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 149646951986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264259590816312).

149646951986112 is an abundant number, since it is smaller than the sum of its proper divisors (378872229646512).

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

149646951986112 is a wasteful number, since it uses less digits than its factorization.

149646951986112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119233 (or 119213 counting only the distinct ones).

The product of its digits is 201553920, while the sum is 72.

The spelling of 149646951986112 in words is "one hundred forty-nine trillion, six hundred forty-six billion, nine hundred fifty-one million, nine hundred eighty-six thousand, one hundred twelve".