61913441221632 has 2640 divisors, whose sum is σ = 254224446715008. Its totient is φ = 14753388625920.

The previous prime is 61913441221603. The next prime is 61913441221657. The reversal of 61913441221632 is 23612214431916.

It is a happy number.

61913441221632 is a `hidden beast` number, since 6 + 1 + 9 + 1 + 3 + 4 + 4 + 1 + 2 + 2 + 1 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 178424902483 + ... + 178424902829.

Almost surely, 2^{61913441221632} 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 61913441221632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127112223357504).

61913441221632 is an abundant number, since it is smaller than the sum of its proper divisors (192311005493376).

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

61913441221632 is a wasteful number, since it uses less digits than its factorization.

61913441221632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 690 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 61913441221632 in words is "sixty-one trillion, nine hundred thirteen billion, four hundred forty-one million, two hundred twenty-one thousand, six hundred thirty-two".