61481488932864 has 3024 divisors, whose sum is σ = 253168307683200. Its totient is φ = 14224431513600.

The previous prime is 61481488932839. The next prime is 61481488932889. The reversal of 61481488932864 is 46823988418416.

61481488932864 is a `hidden beast` number, since 6 + 1 + 4 + 81 + 488 + 9 + 3 + 2 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (61481488932839) and next prime (61481488932889).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 61481488932792 and 61481488932801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 176164724562 + ... + 176164724910.

Almost surely, 2^{61481488932864} is an apocalyptic number.

61481488932864 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 61481488932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126584153841600).

61481488932864 is an abundant number, since it is smaller than the sum of its proper divisors (191686818750336).

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

61481488932864 is a wasteful number, since it uses less digits than its factorization.

61481488932864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 416 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 72.

The spelling of 61481488932864 in words is "sixty-one trillion, four hundred eighty-one billion, four hundred eighty-eight million, nine hundred thirty-two thousand, eight hundred sixty-four".