61534377450 has 288 divisors, whose sum is σ = 206930505600. Its totient is φ = 12762524160.

The previous prime is 61534377389. The next prime is 61534377479. The reversal of 61534377450 is 5477343516.

61534377450 is a `hidden beast` number, since 6 + 1 + 534 + 3 + 77 + 45 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 61534377396 and 61534377405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2403316 + ... + 2428784.

It is an arithmetic number, because the mean of its divisors is an integer number (718508700).

Almost surely, 2^61534377450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61534377450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103465252800).

61534377450 is an abundant number, since it is smaller than the sum of its proper divisors (145396128150).

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

61534377450 is a wasteful number, since it uses less digits than its factorization.

61534377450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25566 (or 25558 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 61534377450 in words is "sixty-one billion, five hundred thirty-four million, three hundred seventy-seven thousand, four hundred fifty".