61124079168 has 112 divisors (see below), whose sum is σ = 180164597760. Its totient is φ = 20321275392.

The previous prime is 61124079113. The next prime is 61124079197. The reversal of 61124079168 is 86197042116.

61124079168 is a `hidden beast` number, since 611 + 24 + 0 + 7 + 9 + 1 + 6 + 8 = 666.

61124079168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 615646 + ... + 708002.

It is an arithmetic number, because the mean of its divisors is an integer number (1608612480).

Almost surely, 2^61124079168 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 61124079168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90082298880).

61124079168 is an abundant number, since it is smaller than the sum of its proper divisors (119040518592).

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

61124079168 is a wasteful number, since it uses less digits than its factorization.

61124079168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92761 (or 92745 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61124079168 in words is "sixty-one billion, one hundred twenty-four million, seventy-nine thousand, one hundred sixty-eight".