30661410816 has 315 divisors, whose sum is σ = 96680758251. Its totient is φ = 9682550784.

The previous prime is 30661410809. The next prime is 30661410833. The reversal of 30661410816 is 61801416603.

The square root of 30661410816 is 175104.

It is a perfect power (a square), and thus also a powerful number.

30661410816 is a `hidden beast` number, since 30 + 6 + 614 + 1 + 0 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×30661410816² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1613758455 + ... + 1613758473.

Almost surely, 2^30661410816 is an apocalyptic number.

30661410816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30661410816 is the 175104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30661410816

30661410816 is an abundant number, since it is smaller than the sum of its proper divisors (66019347435).

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

30661410816 is an frugal number, since it uses more digits than its factorization.

30661410816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Multiplying 30661410816 by its sum of digits (36), we get a square (1103810789376 = 1050624²).

30661410816 divided by its sum of digits (36) gives a square (851705856 = 29184²).

Multiplying 30661410816 by its product of nonzero digits (20736), we get a square (635795014680576 = 25214976²).

30661410816 divided by its product of nonzero digits (20736) gives a square (1478656 = 1216²).

The spelling of 30661410816 in words is "thirty billion, six hundred sixty-one million, four hundred ten thousand, eight hundred sixteen".