745148096000 has 480 divisors, whose sum is σ = 2358035263584. Its totient is φ = 232243200000.

The previous prime is 745148095981. The next prime is 745148096029. The reversal of 745148096000 is 690841547.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34485200 + ... + 34506800.

Almost surely, 2^745148096000 is an apocalyptic number.

745148096000 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 745148096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179017631792).

745148096000 is an abundant number, since it is smaller than the sum of its proper divisors (1612887167584).

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

745148096000 is a wasteful number, since it uses less digits than its factorization.

745148096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21659 (or 21626 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 745148096000 in words is "seven hundred forty-five billion, one hundred forty-eight million, ninety-six thousand".