2538316616472 has 384 divisors, whose sum is σ = 8914059000000. Its totient is φ = 663300513792.

The previous prime is 2538316616461. The next prime is 2538316616501. The reversal of 2538316616472 is 2746166138352.

2538316616472 is a `hidden beast` number, since 2 + 5 + 3 + 8 + 3 + 16 + 616 + 4 + 7 + 2 = 666.

It is a super-4 number, since 4×2538316616472⁴ (a number of 51 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14912904 + ... + 15082152.

Almost surely, 2^{2538316616472} 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 2538316616472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457029500000).

2538316616472 is an abundant number, since it is smaller than the sum of its proper divisors (6375742383528).

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

2538316616472 is a wasteful number, since it uses less digits than its factorization.

2538316616472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169400 (or 169383 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 2538316616472 in words is "two trillion, five hundred thirty-eight billion, three hundred sixteen million, six hundred sixteen thousand, four hundred seventy-two".