149636584656 has 160 divisors (see below), whose sum is σ = 464976906240. Its totient is φ = 45800640000.

The previous prime is 149636584613. The next prime is 149636584667. The reversal of 149636584656 is 656485636941.

149636584656 is a `hidden beast` number, since 1 + 4 + 96 + 36 + 58 + 465 + 6 = 666.

It is a super-2 number, since 2×149636584656² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149636584593 and 149636584602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1002906 + ... + 1142406.

It is an arithmetic number, because the mean of its divisors is an integer number (2906105664).

Almost surely, 2^149636584656 is an apocalyptic number.

149636584656 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 149636584656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232488453120).

149636584656 is an abundant number, since it is smaller than the sum of its proper divisors (315340321584).

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

149636584656 is a wasteful number, since it uses less digits than its factorization.

149636584656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139722 (or 139710 counting only the distinct ones).

The product of its digits is 111974400, while the sum is 63.

The spelling of 149636584656 in words is "one hundred forty-nine billion, six hundred thirty-six million, five hundred eighty-four thousand, six hundred fifty-six".