31790787742224 has 675 divisors, whose sum is σ = 106740773218287. Its totient is φ = 8832063671424.

The previous prime is 31790787742201. The next prime is 31790787742237. The reversal of 31790787742224 is 42224778709713.

The square root of 31790787742224 is 5638332.

It is a perfect power (a square), and thus also a powerful number.

31790787742224 is a `hidden beast` number, since 3 + 1 + 79 + 0 + 78 + 77 + 422 + 2 + 4 = 666.

It is a super-2 number, since 2×31790787742224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 142559586177 + ... + 142559586399.

Almost surely, 2^{31790787742224} is an apocalyptic number.

31790787742224 is the 5638332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31790787742224

31790787742224 is an abundant number, since it is smaller than the sum of its proper divisors (74949985476063).

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

31790787742224 is an frugal number, since it uses more digits than its factorization.

31790787742224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 66382848, while the sum is 63.

The spelling of 31790787742224 in words is "thirty-one trillion, seven hundred ninety billion, seven hundred eighty-seven million, seven hundred forty-two thousand, two hundred twenty-four".