248696832000 has 512 divisors, whose sum is σ = 851573324160. Its totient is φ = 64408780800.

The previous prime is 248696831939. The next prime is 248696832023. The reversal of 248696832000 is 238696842.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×248696832000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 454655727 + ... + 454656273.

Almost surely, 2^248696832000 is an apocalyptic number.

248696832000 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 248696832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425786662080).

248696832000 is an abundant number, since it is smaller than the sum of its proper divisors (602876492160).

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

248696832000 is an frugal number, since it uses more digits than its factorization.

248696832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

It can be divided in two parts, 2486 and 96832000, that added together give a triangular number (96834486 = T₁₃₉₁₆).

The spelling of 248696832000 in words is "two hundred forty-eight billion, six hundred ninety-six million, eight hundred thirty-two thousand".