248054901120 has 1152 divisors, whose sum is σ = 994994863200. Its totient is φ = 58370457600.

The previous prime is 248054901079. The next prime is 248054901131. The reversal of 248054901120 is 21109450842.

248054901120 is a `hidden beast` number, since 2 + 4 + 80 + 549 + 0 + 11 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2455989070 + ... + 2455989170.

Almost surely, 2^248054901120 is an apocalyptic number.

248054901120 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 248054901120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497497431600).

248054901120 is an abundant number, since it is smaller than the sum of its proper divisors (746939962080).

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

248054901120 is a wasteful number, since it uses less digits than its factorization.

248054901120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 248054901120 in words is "two hundred forty-eight billion, fifty-four million, nine hundred one thousand, one hundred twenty".