61337809056 has 192 divisors, whose sum is σ = 170892529920. Its totient is φ = 19233177600.

The previous prime is 61337809019. The next prime is 61337809061. The reversal of 61337809056 is 65090873316.

It is a happy number.

It is a super-2 number, since 2×61337809056² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 61337808996 and 61337809014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22278976 + ... + 22281728.

It is an arithmetic number, because the mean of its divisors is an integer number (890065260).

Almost surely, 2^61337809056 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 61337809056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85446264960).

61337809056 is an abundant number, since it is smaller than the sum of its proper divisors (109554720864).

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

61337809056 is a wasteful number, since it uses less digits than its factorization.

61337809056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2999 (or 2991 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 61337809056 in words is "sixty-one billion, three hundred thirty-seven million, eight hundred nine thousand, fifty-six".