311078970048 has 448 divisors, whose sum is σ = 1088582519808. Its totient is φ = 75902484480.

The previous prime is 311078970023. The next prime is 311078970089. The reversal of 311078970048 is 840079870113.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×311078970048² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 311078969979 and 311078970006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200307640 + ... + 200309192.

It is an arithmetic number, because the mean of its divisors is an integer number (2429871696).

Almost surely, 2^311078970048 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 311078970048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544291259904).

311078970048 is an abundant number, since it is smaller than the sum of its proper divisors (777503549760).

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

311078970048 is a wasteful number, since it uses less digits than its factorization.

311078970048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2400 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 311078970048 in words is "three hundred eleven billion, seventy-eight million, nine hundred seventy thousand, forty-eight".