61930297152 has 252 divisors, whose sum is σ = 194852307780. Its totient is φ = 18718973952.

The previous prime is 61930297147. The next prime is 61930297171. The reversal of 61930297152 is 25179203916.

It is a happy number.

61930297152 is a `hidden beast` number, since 619 + 3 + 0 + 29 + 7 + 1 + 5 + 2 = 666.

61930297152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 40700641536 + 21229655616 = 201744^2 + 145704^2 .

It is a super-2 number, since 2×61930297152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61930297098 and 61930297107.

It is a congruent number.

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, 132612823 + ... + 132613289.

Almost surely, 2^61930297152 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 61930297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97426153890).

61930297152 is an abundant number, since it is smaller than the sum of its proper divisors (132922010628).

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

61930297152 is a wasteful number, since it uses less digits than its factorization.

61930297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 61930297152 in words is "sixty-one billion, nine hundred thirty million, two hundred ninety-seven thousand, one hundred fifty-two".