45670542835008 has 1344 divisors, whose sum is σ = 156120023040000. Its totient is φ = 11770020347904.

The previous prime is 45670542835003. The next prime is 45670542835009. The reversal of 45670542835008 is 80053824507654.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45670542835003) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 111663918708 + ... + 111663919116.

Almost surely, 2^{45670542835008} is an apocalyptic number.

45670542835008 is a gapful number since it is divisible by the number (48) 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 45670542835008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78060011520000).

45670542835008 is an abundant number, since it is smaller than the sum of its proper divisors (110449480204992).

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

45670542835008 is a wasteful number, since it uses less digits than its factorization.

45670542835008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 32256000, while the sum is 57.

The spelling of 45670542835008 in words is "forty-five trillion, six hundred seventy billion, five hundred forty-two million, eight hundred thirty-five thousand, eight".