61457493552 has 240 divisors, whose sum is σ = 202820732928. Its totient is φ = 15685263360.

The previous prime is 61457493523. The next prime is 61457493623. The reversal of 61457493552 is 25539475416.

It is a junction number, because it is equal to n+sod(n) for n = 61457493495 and 61457493504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1742848 + ... + 1777760.

Almost surely, 2^61457493552 is an apocalyptic number.

61457493552 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61457493552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101410366464).

61457493552 is an abundant number, since it is smaller than the sum of its proper divisors (141363239376).

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

61457493552 is a wasteful number, since it uses less digits than its factorization.

61457493552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34988 (or 34969 counting only the distinct ones).

The product of its digits is 4536000, while the sum is 51.

The spelling of 61457493552 in words is "sixty-one billion, four hundred fifty-seven million, four hundred ninety-three thousand, five hundred fifty-two".