11634313506816 has 832 divisors, whose sum is σ = 42000231361536. Its totient is φ = 2789088952320.

The previous prime is 11634313506773. The next prime is 11634313506839. The reversal of 11634313506816 is 61860531343611.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1488330940 + ... + 1488338756.

Almost surely, 2^{11634313506816} is an apocalyptic number.

11634313506816 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 11634313506816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21000115680768).

11634313506816 is an abundant number, since it is smaller than the sum of its proper divisors (30365917854720).

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

11634313506816 is an equidigital number, since it uses as much as digits as its factorization.

11634313506816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7853 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 11634313506816 in words is "eleven trillion, six hundred thirty-four billion, three hundred thirteen million, five hundred six thousand, eight hundred sixteen".