745622258946048 has 1560 divisors, whose sum is σ = 2505814682279040. Its totient is φ = 219017228451840.

The previous prime is 745622258946011. The next prime is 745622258946067. The reversal of 745622258946048 is 840649852226547.

It is a happy number.

745622258946048 is a `hidden beast` number, since 7 + 4 + 5 + 6 + 2 + 2 + 2 + 5 + 8 + 9 + 4 + 604 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 119 ways as a sum of consecutive naturals, for example, 3119758405513 + ... + 3119758405751.

Almost surely, 2^{745622258946048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745622258946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1252907341139520).

745622258946048 is an abundant number, since it is smaller than the sum of its proper divisors (1760192423332992).

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

745622258946048 is a wasteful number, since it uses less digits than its factorization.

745622258946048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 745622258946048 in words is "seven hundred forty-five trillion, six hundred twenty-two billion, two hundred fifty-eight million, nine hundred forty-six thousand, forty-eight".