61238431296 has 315 divisors, whose sum is σ = 211598380587. Its totient is φ = 17461059840.

The previous prime is 61238431273. The next prime is 61238431301. The reversal of 61238431296 is 69213483216.

The square root of 61238431296 is 247464.

It is a perfect power (a square), and thus also a powerful number.

61238431296 is a `hidden beast` number, since 6 + 123 + 8 + 431 + 2 + 96 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 124721611 + ... + 124722101.

Almost surely, 2^61238431296 is an apocalyptic number.

61238431296 is the 247464-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61238431296

61238431296 is an abundant number, since it is smaller than the sum of its proper divisors (150359949291).

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

61238431296 is an frugal number, since it uses more digits than its factorization.

61238431296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 503 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 61238431296 in words is "sixty-one billion, two hundred thirty-eight million, four hundred thirty-one thousand, two hundred ninety-six".