61141925791296 has 840 divisors, whose sum is σ = 217802626981632. Its totient is φ = 16892644608000.

The previous prime is 61141925791291. The next prime is 61141925791313. The reversal of 61141925791296 is 69219752914116.

61141925791296 is a `hidden beast` number, since 6 + 1 + 1 + 4 + 1 + 9 + 257 + 91 + 296 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (61141925791291) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 15205649766 + ... + 15205653786.

Almost surely, 2^{61141925791296} 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 61141925791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108901313490816).

61141925791296 is an abundant number, since it is smaller than the sum of its proper divisors (156660701190336).

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

61141925791296 is a wasteful number, since it uses less digits than its factorization.

61141925791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6021 (or 5995 counting only the distinct ones).

The product of its digits is 14696640, while the sum is 63.

The spelling of 61141925791296 in words is "sixty-one trillion, one hundred forty-one billion, nine hundred twenty-five million, seven hundred ninety-one thousand, two hundred ninety-six".