61353528372864 has 2592 divisors, whose sum is σ = 242201045906820. Its totient is φ = 14773454438400.

The previous prime is 61353528372863. The next prime is 61353528372887. The reversal of 61353528372864 is 46827382535316.

61353528372864 is a `hidden beast` number, since 6 + 1 + 3 + 53 + 528 + 37 + 28 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 61108740915264 + 244787457600 = 7817208^2 + 494760^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (61353528372863) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 254578955784 + ... + 254578956024.

Almost surely, 2^{61353528372864} is an apocalyptic number.

61353528372864 is a gapful number since it is divisible by the number (64) 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 61353528372864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121100522953410).

61353528372864 is an abundant number, since it is smaller than the sum of its proper divisors (180847517533956).

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

61353528372864 is a wasteful number, since it uses less digits than its factorization.

61353528372864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 316 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 61353528372864 in words is "sixty-one trillion, three hundred fifty-three billion, five hundred twenty-eight million, three hundred seventy-two thousand, eight hundred sixty-four".