61193767248 has 400 divisors, whose sum is σ = 196007454720. Its totient is φ = 18345076992.

The previous prime is 61193767247. The next prime is 61193767259. The reversal of 61193767248 is 84276739116.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61193767194 and 61193767203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61193767247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 94580461 + ... + 94581107.

Almost surely, 2^61193767248 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 61193767248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98003727360).

61193767248 is an abundant number, since it is smaller than the sum of its proper divisors (134813687472).

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

61193767248 is a wasteful number, since it uses less digits than its factorization.

61193767248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 861 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 61193767248 in words is "sixty-one billion, one hundred ninety-three million, seven hundred sixty-seven thousand, two hundred forty-eight".