245179146240 has 1792 divisors, whose sum is σ = 1114274672640. Its totient is φ = 50451185664.

The previous prime is 245179146239. The next prime is 245179146253. The reversal of 245179146240 is 42641971542.

245179146240 is a `hidden beast` number, since 2 + 4 + 5 + 1 + 7 + 9 + 14 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×245179146240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10659962869 + ... + 10659962891.

Almost surely, 2^245179146240 is an apocalyptic number.

245179146240 is a gapful number since it is divisible by the number (20) 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 245179146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557137336320).

245179146240 is an abundant number, since it is smaller than the sum of its proper divisors (869095526400).

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

245179146240 is an frugal number, since it uses more digits than its factorization.

245179146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 245179146240 in words is "two hundred forty-five billion, one hundred seventy-nine million, one hundred forty-six thousand, two hundred forty".