5745678492456 has 480 divisors, whose sum is σ = 19491937514280. Its totient is φ = 1575305625600.

The previous prime is 5745678492431. The next prime is 5745678492473. The reversal of 5745678492456 is 6542948765475.

5745678492456 is a `hidden beast` number, since 5 + 7 + 4 + 5 + 6 + 7 + 84 + 92 + 456 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3531730904100 + 2213947588356 = 1879290^2 + 1487934^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79375576 + ... + 79447928.

Almost surely, 2^{5745678492456} is an apocalyptic number.

5745678492456 is a gapful number since it is divisible by the number (56) 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 5745678492456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9745968757140).

5745678492456 is an abundant number, since it is smaller than the sum of its proper divisors (13746259021824).

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

5745678492456 is a wasteful number, since it uses less digits than its factorization.

5745678492456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72487 (or 72467 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 5745678492456 in words is "five trillion, seven hundred forty-five billion, six hundred seventy-eight million, four hundred ninety-two thousand, four hundred fifty-six".