61617852961984 has 112 divisors (see below), whose sum is σ = 140414532480000. Its totient is φ = 26532977587200.

The previous prime is 61617852961979. The next prime is 61617852961997. The reversal of 61617852961984 is 48916925871616.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419812642 + ... + 419959390.

Almost surely, 2^{61617852961984} is an apocalyptic number.

61617852961984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61617852961984 is an abundant number, since it is smaller than the sum of its proper divisors (78796679518016).

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

61617852961984 is a wasteful number, since it uses less digits than its factorization.

61617852961984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178182 (or 178172 counting only the distinct ones).

The product of its digits is 313528320, while the sum is 73.

The spelling of 61617852961984 in words is "sixty-one trillion, six hundred seventeen billion, eight hundred fifty-two million, nine hundred sixty-one thousand, nine hundred eighty-four".