426253648693248 has 168 divisors, whose sum is σ = 1277864185729950. Its totient is φ = 142084549066752.

The previous prime is 426253648693217. The next prime is 426253648693283. The reversal of 426253648693248 is 842396846352624.

426253648693248 is a `hidden beast` number, since 4 + 2 + 6 + 2 + 5 + 36 + 486 + 93 + 24 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 387480012678144 + 38773636015104 = 19684512^2 + 6226848^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 141258493 + ... + 144244476.

Almost surely, 2^{426253648693248} is an apocalyptic number.

426253648693248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

426253648693248 is an abundant number, since it is smaller than the sum of its proper divisors (851610537036702).

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

426253648693248 is an frugal number, since it uses more digits than its factorization.

426253648693248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285503009 (or 285502974 counting only the distinct ones).

The product of its digits is 2866544640, while the sum is 72.

The spelling of 426253648693248 in words is "four hundred twenty-six trillion, two hundred fifty-three billion, six hundred forty-eight million, six hundred ninety-three thousand, two hundred forty-eight".