45267357674000 has 720 divisors, whose sum is σ = 140798587063680. Its totient is φ = 14024205888000.

The previous prime is 45267357673999. The next prime is 45267357674029. The reversal of 45267357674000 is 47675376254.

It is a hoax number, since the sum of its digits (56) 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 (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1980274571 + ... + 1980297429.

It is an arithmetic number, because the mean of its divisors is an integer number (195553593144).

Almost surely, 2^{45267357674000} is an apocalyptic number.

45267357674000 is a gapful number since it is divisible by the number (40) 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 45267357674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70399293531840).

45267357674000 is an abundant number, since it is smaller than the sum of its proper divisors (95531229389680).

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

45267357674000 is a wasteful number, since it uses less digits than its factorization.

45267357674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23085 (or 23051 counting only the distinct ones).

The product of its (nonzero) digits is 29635200, while the sum is 56.

The spelling of 45267357674000 in words is "forty-five trillion, two hundred sixty-seven billion, three hundred fifty-seven million, six hundred seventy-four thousand".