61148874240 has 320 divisors, whose sum is σ = 219156062400. Its totient is φ = 16159997952.

The previous prime is 61148874239. The next prime is 61148874253. The reversal of 61148874240 is 4247884116.

61148874240 is a `hidden beast` number, since 6 + 1 + 148 + 87 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a zygodrome in base 2.

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, 7806646 + ... + 7814474.

It is an arithmetic number, because the mean of its divisors is an integer number (684862695).

Almost surely, 2^61148874240 is an apocalyptic number.

61148874240 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 61148874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109578031200).

61148874240 is an abundant number, since it is smaller than the sum of its proper divisors (158007188160).

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

61148874240 is a wasteful number, since it uses less digits than its factorization.

61148874240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7974 (or 7952 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 61148874240 in words is "sixty-one billion, one hundred forty-eight million, eight hundred seventy-four thousand, two hundred forty".