61148908800 has 1296 divisors, whose sum is σ = 267363637632. Its totient is φ = 13536460800.

The previous prime is 61148908783. The next prime is 61148908801. The reversal of 61148908800 is 880984116.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61148908801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446342332 + ... + 446342468.

Almost surely, 2^61148908800 is an apocalyptic number.

61148908800 is a gapful number since it is divisible by the number (60) 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 61148908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133681818816).

61148908800 is an abundant number, since it is smaller than the sum of its proper divisors (206214728832).

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

61148908800 is a wasteful number, since it uses less digits than its factorization.

61148908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 61148908800 in words is "sixty-one billion, one hundred forty-eight million, nine hundred eight thousand, eight hundred".