112629170463936 has 504 divisors, whose sum is σ = 368619675814800. Its totient is φ = 30255729573888.

The previous prime is 112629170463877. The next prime is 112629170463941. The reversal of 112629170463936 is 639364071926211.

It is a super-2 number, since 2×112629170463936² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 112629170463936.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2710734490 + ... + 2710776038.

Almost surely, 2^{112629170463936} is an apocalyptic number.

112629170463936 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 112629170463936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184309837907400).

112629170463936 is an abundant number, since it is smaller than the sum of its proper divisors (255990505350864).

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

112629170463936 is a wasteful number, since it uses less digits than its factorization.

112629170463936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42609 (or 42575 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The spelling of 112629170463936 in words is "one hundred twelve trillion, six hundred twenty-nine billion, one hundred seventy million, four hundred sixty-three thousand, nine hundred thirty-six".