748825197120 has 4480 divisors, whose sum is σ = 3965423616000. Its totient is φ = 131681894400.

The previous prime is 748825197079. The next prime is 748825197199. The reversal of 748825197120 is 21791528847.

748825197120 is a `hidden beast` number, since 7 + 48 + 82 + 519 + 7 + 1 + 2 + 0 = 666.

748825197120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 24155651505 + ... + 24155651535.

It is an arithmetic number, because the mean of its divisors is an integer number (885139200).

Almost surely, 2^748825197120 is an apocalyptic number.

748825197120 is a gapful number since it is divisible by the number (70) 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 748825197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982711808000).

748825197120 is an abundant number, since it is smaller than the sum of its proper divisors (3216598418880).

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

748825197120 is a wasteful number, since it uses less digits than its factorization.

748825197120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 748825197120 in words is "seven hundred forty-eight billion, eight hundred twenty-five million, one hundred ninety-seven thousand, one hundred twenty".