61014643200 has 900 divisors, whose sum is σ = 262906922322. Its totient is φ = 13934592000.

The previous prime is 61014643163. The next prime is 61014643201. The reversal of 61014643200 is 234641016.

61014643200 is a `hidden beast` number, since 6 + 1 + 0 + 14 + 643 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23167275264 + 37847367936 = 152208^2 + 194544^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (61014643201) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 50802600 + ... + 50803800.

Almost surely, 2^61014643200 is an apocalyptic number.

61014643200 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 61014643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131453461161).

61014643200 is an abundant number, since it is smaller than the sum of its proper divisors (201892279122).

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

61014643200 is a wasteful number, since it uses less digits than its factorization.

61014643200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61014643200 in words is "sixty-one billion, fourteen million, six hundred forty-three thousand, two hundred".