16039186464 has 144 divisors (see below), whose sum is σ = 49031111808. Its totient is φ = 4577545728.

The previous prime is 16039186453. The next prime is 16039186523. The reversal of 16039186464 is 46468193061.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6993702 + ... + 6995994.

It is an arithmetic number, because the mean of its divisors is an integer number (340493832).

Almost surely, 2^16039186464 is an apocalyptic number.

16039186464 is a gapful number since it is divisible by the number (14) 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 16039186464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24515555904).

16039186464 is an abundant number, since it is smaller than the sum of its proper divisors (32991925344).

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

16039186464 is a wasteful number, since it uses less digits than its factorization.

16039186464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The spelling of 16039186464 in words is "sixteen billion, thirty-nine million, one hundred eighty-six thousand, four hundred sixty-four".