61201438992 has 180 divisors, whose sum is σ = 187006161420. Its totient is φ = 18659870208.

The previous prime is 61201438979. The next prime is 61201439009. The reversal of 61201438992 is 29983410216.

61201438992 is a `hidden beast` number, since 6 + 1 + 201 + 438 + 9 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49620235536 + 11581203456 = 222756^2 + 107616^2 .

It is a super-2 number, since 2×61201438992² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1487238 + ... + 1527834.

It is an arithmetic number, because the mean of its divisors is an integer number (1038923119).

Almost surely, 2^61201438992 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 61201438992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93503080710).

61201438992 is an abundant number, since it is smaller than the sum of its proper divisors (125804722428).

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

61201438992 is a wasteful number, since it uses less digits than its factorization.

61201438992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40678 (or 40650 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 61201438992 in words is "sixty-one billion, two hundred one million, four hundred thirty-eight thousand, nine hundred ninety-two".