748681071163200 has 6048 divisors, whose sum is σ = 3520050110373888. Its totient is φ = 152750997504000.

The previous prime is 748681071163153. The next prime is 748681071163231. The reversal of 748681071163200 is 2361170186847.

748681071163200 is a `hidden beast` number, since 7 + 48 + 68 + 107 + 116 + 320 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 2762660779065 + ... + 2762660779335.

It is an arithmetic number, because the mean of its divisors is an integer number (582018867456).

Almost surely, 2^{748681071163200} is an apocalyptic number.

748681071163200 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 748681071163200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760025055186944).

748681071163200 is an abundant number, since it is smaller than the sum of its proper divisors (2771369039210688).

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

748681071163200 is a wasteful number, since it uses less digits than its factorization.

748681071163200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 748681071163200 in words is "seven hundred forty-eight trillion, six hundred eighty-one billion, seventy-one million, one hundred sixty-three thousand, two hundred".