61614450304 has 96 divisors (see below), whose sum is σ = 135191093760. Its totient is φ = 27738708480.

The previous prime is 61614450263. The next prime is 61614450367. The reversal of 61614450304 is 40305441616.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61614450304.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104964699 + ... + 104965285.

It is an arithmetic number, because the mean of its divisors is an integer number (1408240560).

Almost surely, 2^61614450304 is an apocalyptic number.

61614450304 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 61614450304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67595546880).

61614450304 is an abundant number, since it is smaller than the sum of its proper divisors (73576643456).

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

61614450304 is an equidigital number, since it uses as much as digits as its factorization.

61614450304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 61614450304 in words is "sixty-one billion, six hundred fourteen million, four hundred fifty thousand, three hundred four".