61955547456 has 224 divisors, whose sum is σ = 191126863872. Its totient is φ = 17503805440.

The previous prime is 61955547449. The next prime is 61955547461. The reversal of 61955547456 is 65474555916.

It is a junction number, because it is equal to n+sod(n) for n = 61955547396 and 61955547405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3833665 + ... + 3849791.

It is an arithmetic number, because the mean of its divisors is an integer number (853244928).

Almost surely, 2^61955547456 is an apocalyptic number.

61955547456 is a gapful number since it is divisible by the number (66) 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 61955547456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95563431936).

61955547456 is an abundant number, since it is smaller than the sum of its proper divisors (129171316416).

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

61955547456 is a wasteful number, since it uses less digits than its factorization.

61955547456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16277 (or 16267 counting only the distinct ones).

The product of its digits is 22680000, while the sum is 57.

The spelling of 61955547456 in words is "sixty-one billion, nine hundred fifty-five million, five hundred forty-seven thousand, four hundred fifty-six".