61615203987456 has 2496 divisors, whose sum is σ = 241632245836800. Its totient is φ = 15103760007168.

The previous prime is 61615203987451. The next prime is 61615203987481. The reversal of 61615203987456 is 65478930251616.

It is a happy number.

61615203987456 is a `hidden beast` number, since 6 + 1 + 6 + 1 + 520 + 39 + 8 + 74 + 5 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61615203987393 and 61615203987402.

It is not an unprimeable number, because it can be changed into a prime (61615203987451) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210290798446 + ... + 210290798738.

It is an arithmetic number, because the mean of its divisors is an integer number (96807790800).

It is a 1-persistent number, because it is pandigital, but 2⋅61615203987456 = 123230407974912 is not.

Almost surely, 2^{61615203987456} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61615203987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120816122918400).

61615203987456 is an abundant number, since it is smaller than the sum of its proper divisors (180017041849344).

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

61615203987456 is a wasteful number, since it uses less digits than its factorization.

61615203987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 61615203987456 in words is "sixty-one trillion, six hundred fifteen billion, two hundred three million, nine hundred eighty-seven thousand, four hundred fifty-six".