2456416751616 has 273 divisors, whose sum is σ = 7373110637991. Its totient is φ = 817902821376.

The previous prime is 2456416751573. The next prime is 2456416751617. The reversal of 2456416751616 is 6161576146542.

The square root of 2456416751616 is 1567296.

It is a perfect power (a square), and thus also a powerful number.

2456416751616 is a `hidden beast` number, since 2 + 4 + 5 + 6 + 4 + 16 + 7 + 5 + 1 + 616 = 666.

It is a super-2 number, since 2×2456416751616² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (2456416751617) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2708287035 + ... + 2708287941.

Almost surely, 2^{2456416751616} is an apocalyptic number.

2456416751616 is the 1567296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2456416751616

2456416751616 is an abundant number, since it is smaller than the sum of its proper divisors (4916693886375).

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

2456416751616 is an frugal number, since it uses more digits than its factorization.

2456416751616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1856 (or 912 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 2456416751616 in words is "two trillion, four hundred fifty-six billion, four hundred sixteen million, seven hundred fifty-one thousand, six hundred sixteen".