70808416137216 has 1040 divisors, whose sum is σ = 235267937128800. Its totient is φ = 21045225848832.

The previous prime is 70808416137169. The next prime is 70808416137269. The reversal of 70808416137216 is 61273161480807.

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.

70808416137216 is a `hidden beast` number, since 7 + 0 + 8 + 0 + 8 + 4 + 1 + 613 + 7 + 2 + 16 = 666.

It is a super-2 number, since 2×70808416137216² (a number of 29 digits) contains 22 as substring.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 70808416137216 = 5168³ + 41344³ = 23256³ + 38760³.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3726758744055 + ... + 3726758744073.

Almost surely, 2^{70808416137216} is an apocalyptic number.

70808416137216 is a gapful number since it is divisible by the number (76) 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 70808416137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117633968564400).

70808416137216 is an abundant number, since it is smaller than the sum of its proper divisors (164459520991584).

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

70808416137216 is an frugal number, since it uses more digits than its factorization.

70808416137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 70808416137216 in words is "seventy trillion, eight hundred eight billion, four hundred sixteen million, one hundred thirty-seven thousand, two hundred sixteen".