248195914315272 has 1440 divisors, whose sum is σ = 904099204008000. Its totient is φ = 63367999833600.

The previous prime is 248195914315207. The next prime is 248195914315331. The reversal of 248195914315272 is 272513419591842.

248195914315272 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 9 + 591 + 4 + 3 + 15 + 27 + 2 = 666.

It is a super-2 number, since 2×248195914315272² (a number of 30 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 106111975879 + ... + 106111978217.

It is an arithmetic number, because the mean of its divisors is an integer number (627846669450).

Almost surely, 2^{248195914315272} is an apocalyptic number.

248195914315272 is a gapful number since it is divisible by the number (22) 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 248195914315272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452049602004000).

248195914315272 is an abundant number, since it is smaller than the sum of its proper divisors (655903289692728).

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

248195914315272 is a wasteful number, since it uses less digits than its factorization.

248195914315272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2853 (or 2822 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 248195914315272 in words is "two hundred forty-eight trillion, one hundred ninety-five billion, nine hundred fourteen million, three hundred fifteen thousand, two hundred seventy-two".