245142262753920 has 320 divisors, whose sum is σ = 1000511181014400. Its totient is φ = 56032517117952.

The previous prime is 245142262753909. The next prime is 245142262753931. The reversal of 245142262753920 is 29357262241542.

245142262753920 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 4 + 2 + 2 + 627 + 5 + 3 + 9 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (245142262753909) and next prime (245142262753931).

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×245142262753920² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 337410300 + ... + 338136059.

It is an arithmetic number, because the mean of its divisors is an integer number (3126597440670).

Almost surely, 2^{245142262753920} is an apocalyptic number.

245142262753920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245142262753920 is an abundant number, since it is smaller than the sum of its proper divisors (755368918260480).

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

245142262753920 is an equidigital number, since it uses as much as digits as its factorization.

245142262753920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675546397 (or 675546376 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 245142262753920 in words is "two hundred forty-five trillion, one hundred forty-two billion, two hundred sixty-two million, seven hundred fifty-three thousand, nine hundred twenty".