248972629248 has 864 divisors, whose sum is σ = 899961753600. Its totient is φ = 64618020864.

The previous prime is 248972629193. The next prime is 248972629333. The reversal of 248972629248 is 842926279842.

248972629248 is a `hidden beast` number, since 2 + 48 + 97 + 262 + 9 + 248 = 666.

It is a super-2 number, since 2×248972629248² (a number of 24 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 849735790 + ... + 849736082.

It is an arithmetic number, because the mean of its divisors is an integer number (1041622400).

Almost surely, 2^248972629248 is an apocalyptic number.

248972629248 is a gapful number since it is divisible by the number (28) 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 248972629248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449980876800).

248972629248 is an abundant number, since it is smaller than the sum of its proper divisors (650989124352).

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

248972629248 is a wasteful number, since it uses less digits than its factorization.

248972629248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 248972629248 in words is "two hundred forty-eight billion, nine hundred seventy-two million, six hundred twenty-nine thousand, two hundred forty-eight".