2357478579456 has 1728 divisors, whose sum is σ = 9728158003200. Its totient is φ = 540058337280.

The previous prime is 2357478579439. The next prime is 2357478579499. The reversal of 2357478579456 is 6549758747532.

2357478579456 is a `hidden beast` number, since 2 + 3 + 5 + 7 + 4 + 7 + 8 + 579 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2599204155 + ... + 2599205061.

Almost surely, 2^{2357478579456} is an apocalyptic number.

2357478579456 is a gapful number since it is divisible by the number (26) 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 2357478579456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864079001600).

2357478579456 is an abundant number, since it is smaller than the sum of its proper divisors (7370679423744).

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

2357478579456 is a wasteful number, since it uses less digits than its factorization.

2357478579456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 966 counting only the distinct ones).

The product of its digits is 1778112000, while the sum is 72.

The spelling of 2357478579456 in words is "two trillion, three hundred fifty-seven billion, four hundred seventy-eight million, five hundred seventy-nine thousand, four hundred fifty-six".