61451799552 has 792 divisors, whose sum is σ = 219207793168. Its totient is φ = 17079828480.

The previous prime is 61451799551. The next prime is 61451799641. The reversal of 61451799552 is 25599715416.

61451799552 is a `hidden beast` number, since 6 + 14 + 5 + 1 + 79 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is not an unprimeable number, because it can be changed into a prime (61451799551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 391412658 + ... + 391412814.

Almost surely, 2^61451799552 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 61451799552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109603896584).

61451799552 is an abundant number, since it is smaller than the sum of its proper divisors (157755993616).

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

61451799552 is a wasteful number, since it uses less digits than its factorization.

61451799552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 186 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 61451799552 in words is "sixty-one billion, four hundred fifty-one million, seven hundred ninety-nine thousand, five hundred fifty-two".