61481093833152 has 1120 divisors, whose sum is σ = 224782870118400. Its totient is φ = 16229039523840.

The previous prime is 61481093833151. The next prime is 61481093833153. The reversal of 61481093833152 is 25133839018416.

It is a happy number.

61481093833152 is a `hidden beast` number, since 6 + 1 + 4 + 8 + 109 + 383 + 3 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (61481093833151) and next prime (61481093833153).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61481093833151) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15498131073 + ... + 15498135039.

Almost surely, 2^{61481093833152} is an apocalyptic number.

61481093833152 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 61481093833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112391435059200).

61481093833152 is an abundant number, since it is smaller than the sum of its proper divisors (163301776285248).

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

61481093833152 is a wasteful number, since it uses less digits than its factorization.

61481093833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4651 (or 4632 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 61481093833152 in words is "sixty-one trillion, four hundred eighty-one billion, ninety-three million, eight hundred thirty-three thousand, one hundred fifty-two".