61492356866304 has 2592 divisors, whose sum is σ = 237936388225536. Its totient is φ = 15691465359360.

The previous prime is 61492356866263. The next prime is 61492356866321. The reversal of 61492356866304 is 40366865329416.

61492356866304 is a `hidden beast` number, since 6 + 1 + 4 + 9 + 2 + 3 + 568 + 6 + 63 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 255155007624 + ... + 255155007864.

Almost surely, 2^{61492356866304} is an apocalyptic number.

61492356866304 is a gapful number since it is divisible by the number (64) 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 61492356866304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118968194112768).

61492356866304 is an abundant number, since it is smaller than the sum of its proper divisors (176444031359232).

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

61492356866304 is a wasteful number, since it uses less digits than its factorization.

61492356866304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 61492356866304 in words is "sixty-one trillion, four hundred ninety-two billion, three hundred fifty-six million, eight hundred sixty-six thousand, three hundred four".