661412531970792 has 192 divisors, whose sum is σ = 2118709979568000. Its totient is φ = 182382245402112.

The previous prime is 661412531970787. The next prime is 661412531970811. The reversal of 661412531970792 is 297079135214166.

661412531970792 is a `hidden beast` number, since 6 + 6 + 1 + 4 + 1 + 2 + 531 + 9 + 7 + 0 + 7 + 92 = 666.

It is a super-2 number, since 2×661412531970792² (a number of 30 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 47 ways as a sum of consecutive naturals, for example, 25446583 + ... + 44388665.

It is an arithmetic number, because the mean of its divisors is an integer number (11034947810250).

Almost surely, 2^{661412531970792} 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 661412531970792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059354989784000).

661412531970792 is an abundant number, since it is smaller than the sum of its proper divisors (1457297447597208).

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

661412531970792 is a wasteful number, since it uses less digits than its factorization.

661412531970792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18944520 (or 18944513 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 661412531970792 in words is "six hundred sixty-one trillion, four hundred twelve billion, five hundred thirty-one million, nine hundred seventy thousand, seven hundred ninety-two".