426951483356160 has 3168 divisors, whose sum is σ = 1829723923722240. Its totient is φ = 93505969520640.

The previous prime is 426951483356143. The next prime is 426951483356179. The reversal of 426951483356160 is 61653384159624.

426951483356160 is a `hidden beast` number, since 4 + 2 + 6 + 9 + 5 + 1 + 4 + 8 + 3 + 3 + 5 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1163355540297 + ... + 1163355540663.

Almost surely, 2^{426951483356160} is an apocalyptic number.

426951483356160 is a gapful number since it is divisible by the number (40) 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 426951483356160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914861961861120).

426951483356160 is an abundant number, since it is smaller than the sum of its proper divisors (1402772440366080).

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

426951483356160 is a wasteful number, since it uses less digits than its factorization.

426951483356160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 426951483356160 in words is "four hundred twenty-six trillion, nine hundred fifty-one billion, four hundred eighty-three million, three hundred fifty-six thousand, one hundred sixty".