73838760162848 has 54 divisors (see below), whose sum is σ = 148169811644127. Its totient is φ = 36221524168960.

The previous prime is 73838760162833. The next prime is 73838760162851. The reversal of 73838760162848 is 84826106783837.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 72939320364304 + 899439798544 = 8540452^2 + 948388^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=6076132.

It is a super-2 number, since 2×73838760162848² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2576265638 + ... + 2576294298.

Almost surely, 2^{73838760162848} 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 73838760162848

73838760162848 is an abundant number, since it is smaller than the sum of its proper divisors (74331051481279).

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

73838760162848 is an frugal number, since it uses more digits than its factorization.

73838760162848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57438 (or 28716 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 71.

The spelling of 73838760162848 in words is "seventy-three trillion, eight hundred thirty-eight billion, seven hundred sixty million, one hundred sixty-two thousand, eight hundred forty-eight".