748946016000 has 2592 divisors, whose sum is σ = 3599686306944. Its totient is φ = 145096704000.

The previous prime is 748946015903. The next prime is 748946016019. The reversal of 748946016000 is 610649847.

748946016000 is a `hidden beast` number, since 7 + 489 + 4 + 6 + 0 + 160 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18266975980 + ... + 18266976020.

Almost surely, 2^748946016000 is an apocalyptic number.

748946016000 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 748946016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799843153472).

748946016000 is an abundant number, since it is smaller than the sum of its proper divisors (2850740290944).

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

748946016000 is a wasteful number, since it uses less digits than its factorization.

748946016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 748946016000 in words is "seven hundred forty-eight billion, nine hundred forty-six million, sixteen thousand".