16631293788 has 192 divisors, whose sum is σ = 47745331200. Its totient is φ = 4985660160.

The previous prime is 16631293759. The next prime is 16631293829. The reversal of 16631293788 is 88739213661.

16631293788 is a `hidden beast` number, since 166 + 312 + 93 + 7 + 88 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 3368970 + ... + 3373902.

It is an arithmetic number, because the mean of its divisors is an integer number (248673600).

Almost surely, 2^16631293788 is an apocalyptic number.

16631293788 is a gapful number since it is divisible by the number (18) 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 16631293788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23872665600).

16631293788 is an abundant number, since it is smaller than the sum of its proper divisors (31114037412).

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

16631293788 is a wasteful number, since it uses less digits than its factorization.

16631293788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5049 (or 5041 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

It can be divided in two parts, 166312 and 93788, that added together give a square (260100 = 510²).

The spelling of 16631293788 in words is "sixteen billion, six hundred thirty-one million, two hundred ninety-three thousand, seven hundred eighty-eight".