149848627906656 has 1728 divisors, whose sum is σ = 560668000628736. Its totient is φ = 38485657267200.

The previous prime is 149848627906651. The next prime is 149848627906673. The reversal of 149848627906656 is 656609726848941.

149848627906656 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 486 + 2 + 79 + 0 + 6 + 65 + 6 = 666.

It is a super-2 number, since 2×149848627906656² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149848627906651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 59205304111 + ... + 59205306641.

It is an arithmetic number, because the mean of its divisors is an integer number (324460648512).

Almost surely, 2^{149848627906656} is an apocalyptic number.

149848627906656 is a gapful number since it is divisible by the number (16) 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 149848627906656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280334000314368).

149848627906656 is an abundant number, since it is smaller than the sum of its proper divisors (410819372722080).

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

149848627906656 is a wasteful number, since it uses less digits than its factorization.

149848627906656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2716 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 149848627906656 in words is "one hundred forty-nine trillion, eight hundred forty-eight billion, six hundred twenty-seven million, nine hundred six thousand, six hundred fifty-six".