61494987456 has 588 divisors, whose sum is σ = 218883847728. Its totient is φ = 17071617024.

The previous prime is 61494987431. The next prime is 61494987469. The reversal of 61494987456 is 65478949416.

61494987456 is a `hidden beast` number, since 6 + 1 + 4 + 94 + 98 + 7 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (588).

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 61494987393 and 61494987402.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 84586965 + ... + 84587691.

Almost surely, 2^61494987456 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 61494987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109441923864).

61494987456 is an abundant number, since it is smaller than the sum of its proper divisors (157388860272).

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

61494987456 is an equidigital number, since it uses as much as digits as its factorization.

61494987456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 776 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 61494987456 in words is "sixty-one billion, four hundred ninety-four million, nine hundred eighty-seven thousand, four hundred fifty-six".