957053463444 has 144 divisors (see below), whose sum is σ = 2697366817600. Its totient is φ = 291720958272.

The previous prime is 957053463419. The next prime is 957053463463. The reversal of 957053463444 is 444364350759.

957053463444 is a `hidden beast` number, since 9 + 5 + 7 + 0 + 534 + 63 + 4 + 44 = 666.

It is a super-3 number, since 3×957053463444³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16044627 + ... + 16104165.

Almost surely, 2^957053463444 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 957053463444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1348683408800).

957053463444 is an abundant number, since it is smaller than the sum of its proper divisors (1740313354156).

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

957053463444 is a wasteful number, since it uses less digits than its factorization.

957053463444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59779 (or 59664 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

The spelling of 957053463444 in words is "nine hundred fifty-seven billion, fifty-three million, four hundred sixty-three thousand, four hundred forty-four".