61245696900 has 144 divisors (see below), whose sum is σ = 178602318720. Its totient is φ = 16203724800.

The previous prime is 61245696859. The next prime is 61245696913. The reversal of 61245696900 is 969654216.

It is a super-2 number, since 2×61245696900² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61245696900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41131356 + ... + 41132844.

It is an arithmetic number, because the mean of its divisors is an integer number (1240293880).

Almost surely, 2^61245696900 is an apocalyptic number.

61245696900 is a gapful number since it is divisible by the number (60) 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 61245696900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89301159360).

61245696900 is an abundant number, since it is smaller than the sum of its proper divisors (117356621820).

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

61245696900 is a wasteful number, since it uses less digits than its factorization.

61245696900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 61245696900 in words is "sixty-one billion, two hundred forty-five million, six hundred ninety-six thousand, nine hundred".