38497904543016 has 560 divisors, whose sum is σ = 117411573695700. Its totient is φ = 11828659148352.

The previous prime is 38497904542991. The next prime is 38497904543041. The reversal of 38497904543016 is 61034540979483.

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.

38497904543016 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 79 + 0 + 4 + 543 + 0 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (38497904542991) and next prime (38497904543041).

It can be written as a sum of positive squares in 2 ways, for example, as 35350991748900 + 3146912794116 = 5945670^2 + 1773954^2 .

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 38497904543016 = 4218³ + 33744³ = 18981³ + 31635³.

It is an unprimeable number.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 1040483906550 + ... + 1040483906586.

Almost surely, 2^{38497904543016} is an apocalyptic number.

38497904543016 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38497904543016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58705786847850).

38497904543016 is an abundant number, since it is smaller than the sum of its proper divisors (78913669152684).

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

38497904543016 is an frugal number, since it uses more digits than its factorization.

38497904543016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 63.

The spelling of 38497904543016 in words is "thirty-eight trillion, four hundred ninety-seven billion, nine hundred four million, five hundred forty-three thousand, sixteen".