61338090592 has 144 divisors (see below), whose sum is σ = 136408823712. Its totient is φ = 27084062720.

The previous prime is 61338090529. The next prime is 61338090607. The reversal of 61338090592 is 29509083316.

It is a happy number.

It is a super-2 number, since 2×61338090592² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11270592 + ... + 11276032.

It is an arithmetic number, because the mean of its divisors is an integer number (947283498).

Almost surely, 2^61338090592 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 61338090592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68204411856).

61338090592 is an abundant number, since it is smaller than the sum of its proper divisors (75070733120).

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

61338090592 is a wasteful number, since it uses less digits than its factorization.

61338090592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The spelling of 61338090592 in words is "sixty-one billion, three hundred thirty-eight million, ninety thousand, five hundred ninety-two".