61357492224 has 768 divisors, whose sum is σ = 223501824000. Its totient is φ = 16446799872.

The previous prime is 61357492213. The next prime is 61357492271. The reversal of 61357492224 is 42229475316.

61357492224 is a `hidden beast` number, since 6 + 135 + 7 + 492 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 61357492224.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 595703757 + ... + 595703859.

It is an arithmetic number, because the mean of its divisors is an integer number (291018000).

Almost surely, 2^61357492224 is an apocalyptic number.

61357492224 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 61357492224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111750912000).

61357492224 is an abundant number, since it is smaller than the sum of its proper divisors (162144331776).

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

61357492224 is an equidigital number, since it uses as much as digits as its factorization.

61357492224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 134 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 61357492224 in words is "sixty-one billion, three hundred fifty-seven million, four hundred ninety-two thousand, two hundred twenty-four".