248937373513920 has 896 divisors, whose sum is σ = 989587898578944. Its totient is φ = 51620130717696.

The previous prime is 248937373513919. The next prime is 248937373513951. The reversal of 248937373513920 is 29315373739842.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1804701274 + ... + 1804839206.

It is an arithmetic number, because the mean of its divisors is an integer number (1104450779664).

Almost surely, 2^{248937373513920} is an apocalyptic number.

248937373513920 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 248937373513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494793949289472).

248937373513920 is an abundant number, since it is smaller than the sum of its proper divisors (740650525065024).

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

248937373513920 is a wasteful number, since it uses less digits than its factorization.

248937373513920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138329 (or 138319 counting only the distinct ones).

The product of its (nonzero) digits is 205752960, while the sum is 66.

The spelling of 248937373513920 in words is "two hundred forty-eight trillion, nine hundred thirty-seven billion, three hundred seventy-three million, five hundred thirteen thousand, nine hundred twenty".