946269130464 has 768 divisors, whose sum is σ = 3382283520000. Its totient is φ = 254804465664.

The previous prime is 946269130453. The next prime is 946269130529. The reversal of 946269130464 is 464031962649.

946269130464 is a `hidden beast` number, since 9 + 4 + 62 + 6 + 91 + 30 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 946269130464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 610889562 + ... + 610891110.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015000).

Almost surely, 2^946269130464 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 946269130464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1691141760000).

946269130464 is an abundant number, since it is smaller than the sum of its proper divisors (2436014389536).

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

946269130464 is a wasteful number, since it uses less digits than its factorization.

946269130464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 946269130464 in words is "nine hundred forty-six billion, two hundred sixty-nine million, one hundred thirty thousand, four hundred sixty-four".