748314712051200 has 7200 divisors, whose sum is σ = 3615189320913984. Its totient is φ = 149159694827520.

The previous prime is 748314712051199. The next prime is 748314712051201. The reversal of 748314712051200 is 2150217413847.

It is a happy number.

748314712051200 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 1 + 4 + 7 + 120 + 512 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (748314712051199) and next prime (748314712051201).

It is a tau number, because it is divible by the number of its divisors (7200).

It is a super-2 number, since 2×748314712051200² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748314712051201) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 2360614233442 + ... + 2360614233758.

Almost surely, 2^{748314712051200} is an apocalyptic number.

748314712051200 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 748314712051200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807594660456992).

748314712051200 is an abundant number, since it is smaller than the sum of its proper divisors (2866874608862784).

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

748314712051200 is a wasteful number, since it uses less digits than its factorization.

748314712051200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 748314712051200 in words is "seven hundred forty-eight trillion, three hundred fourteen billion, seven hundred twelve million, fifty-one thousand, two hundred".