70448257152 has 768 divisors, whose sum is σ = 265806777600. Its totient is φ = 17390370816.

The previous prime is 70448257151. The next prime is 70448257153. The reversal of 70448257152 is 25175284407.

70448257152 is a `hidden beast` number, since 7 + 0 + 448 + 2 + 57 + 152 = 666.

It is an interprime number because it is at equal distance from previous prime (70448257151) and next prime (70448257153).

It is a super-2 number, since 2×70448257152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 70448257098 and 70448257107.

It is not an unprimeable number, because it can be changed into a prime (70448257151) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225074148 + ... + 225074460.

It is an arithmetic number, because the mean of its divisors is an integer number (346102575).

Almost surely, 2^70448257152 is an apocalyptic number.

70448257152 is a gapful number since it is divisible by the number (72) 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 70448257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132903388800).

70448257152 is an abundant number, since it is smaller than the sum of its proper divisors (195358520448).

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

70448257152 is a wasteful number, since it uses less digits than its factorization.

70448257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The spelling of 70448257152 in words is "seventy billion, four hundred forty-eight million, two hundred fifty-seven thousand, one hundred fifty-two".