2451364111616 has 288 divisors, whose sum is σ = 5875231084800. Its totient is φ = 998831554560.

The previous prime is 2451364111561. The next prime is 2451364111621. The reversal of 2451364111616 is 6161114631542.

It is a super-4 number, since 4×2451364111616⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2429498120 + ... + 2429499128.

Almost surely, 2^{2451364111616} 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 2451364111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937615542400).

2451364111616 is an abundant number, since it is smaller than the sum of its proper divisors (3423866973184).

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

2451364111616 is a wasteful number, since it uses less digits than its factorization.

2451364111616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1871 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The spelling of 2451364111616 in words is "two trillion, four hundred fifty-one billion, three hundred sixty-four million, one hundred eleven thousand, six hundred sixteen".