116400101632 has 144 divisors (see below), whose sum is σ = 254011968000. Its totient is φ = 53063442432.

The previous prime is 116400101611. The next prime is 116400101647. The reversal of 116400101632 is 236101004611.

It is a junction number, because it is equal to n+sod(n) for n = 116400101597 and 116400101606.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13485094 + ... + 13493722.

It is an arithmetic number, because the mean of its divisors is an integer number (1763972000).

Almost surely, 2^116400101632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116400101632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127005984000).

116400101632 is an abundant number, since it is smaller than the sum of its proper divisors (137611866368).

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

116400101632 is an equidigital number, since it uses as much as digits as its factorization.

116400101632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8776 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The spelling of 116400101632 in words is "one hundred sixteen billion, four hundred million, one hundred one thousand, six hundred thirty-two".