3811457278464 has 640 divisors, whose sum is σ = 11991432499200. Its totient is φ = 1063434977280.

The previous prime is 3811457278393. The next prime is 3811457278471. The reversal of 3811457278464 is 4648727541183.

It is a junction number, because it is equal to n+sod(n) for n = 3811457278398 and 3811457278407.

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 63 ways as a sum of consecutive naturals, for example, 2368835292 + ... + 2368836900.

It is an arithmetic number, because the mean of its divisors is an integer number (18736613280).

Almost surely, 2^{3811457278464} 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 3811457278464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995716249600).

3811457278464 is an abundant number, since it is smaller than the sum of its proper divisors (8179975220736).

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

3811457278464 is a wasteful number, since it uses less digits than its factorization.

3811457278464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1848 counting only the distinct ones).

The product of its digits is 36126720, while the sum is 60.

The spelling of 3811457278464 in words is "three trillion, eight hundred eleven billion, four hundred fifty-seven million, two hundred seventy-eight thousand, four hundred sixty-four".