70712210871456 has 1536 divisors, whose sum is σ = 263664775987200. Its totient is φ = 16014668267520.

The previous prime is 70712210871451. The next prime is 70712210871479. The reversal of 70712210871456 is 65417801221707.

It is a super-2 number, since 2×70712210871456² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 70712210871399 and 70712210871408.

It is not an unprimeable number, because it can be changed into a prime (70712210871451) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48466216455 + ... + 48466217913.

It is an arithmetic number, because the mean of its divisors is an integer number (171656755200).

Almost surely, 2^{70712210871456} is an apocalyptic number.

70712210871456 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 70712210871456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131832387993600).

70712210871456 is an abundant number, since it is smaller than the sum of its proper divisors (192952565115744).

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

70712210871456 is a wasteful number, since it uses less digits than its factorization.

70712210871456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 51.

The spelling of 70712210871456 in words is "seventy trillion, seven hundred twelve billion, two hundred ten million, eight hundred seventy-one thousand, four hundred fifty-six".