31653304749000 has 768 divisors, whose sum is σ = 117583437404160. Its totient is φ = 7616531520000.

The previous prime is 31653304748981. The next prime is 31653304749047. The reversal of 31653304749000 is 94740335613.

31653304749000 is a `hidden beast` number, since 3 + 1 + 65 + 3 + 30 + 474 + 90 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 21344102259 + ... + 21344103741.

It is an arithmetic number, because the mean of its divisors is an integer number (153103434120).

Almost surely, 2^{31653304749000} is an apocalyptic number.

31653304749000 is a gapful number since it is divisible by the number (30) 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 31653304749000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58791718702080).

31653304749000 is an abundant number, since it is smaller than the sum of its proper divisors (85930132655160).

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

31653304749000 is a wasteful number, since it uses less digits than its factorization.

31653304749000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2979 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 31653304749000 in words is "thirty-one trillion, six hundred fifty-three billion, three hundred four million, seven hundred forty-nine thousand".