20248151616 has 525 divisors, whose sum is σ = 74476783355. Its totient is φ = 5259260160.

The previous prime is 20248151579. The next prime is 20248151653. The reversal of 20248151616 is 61615184202.

It is a happy number.

The square root of 20248151616 is 142296.

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

20248151616 is a `hidden beast` number, since 2 + 0 + 24 + 8 + 15 + 1 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (20248151579) and next prime (20248151653).

It is a super-2 number, since 2×20248151616² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 1840741051 + ... + 1840741061.

Almost surely, 2^20248151616 is an apocalyptic number.

20248151616 is the 142296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20248151616

20248151616 is an abundant number, since it is smaller than the sum of its proper divisors (54228631739).

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

20248151616 is an frugal number, since it uses more digits than its factorization.

20248151616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 20248151616 by its sum of digits (36), we get a 4-th power (728933458176 = 924⁴).

20248151616 divided by its sum of digits (36) gives a 4-th power (562448656 = 154⁴).

The spelling of 20248151616 in words is "twenty billion, two hundred forty-eight million, one hundred fifty-one thousand, six hundred sixteen".