45765658426000 has 80 divisors (see below), whose sum is σ = 110705096706048. Its totient is φ = 18299028528000.

The previous prime is 45765658425989. The next prime is 45765658426003. The reversal of 45765658426000 is 62485656754.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (45765658426003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 541489 + ... + 9582511.

Almost surely, 2^{45765658426000} is an apocalyptic number.

45765658426000 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 45765658426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55352548353024).

45765658426000 is an abundant number, since it is smaller than the sum of its proper divisors (64939438280048).

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

45765658426000 is a wasteful number, since it uses less digits than its factorization.

45765658426000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9043577 (or 9043561 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 58.

The spelling of 45765658426000 in words is "forty-five trillion, seven hundred sixty-five billion, six hundred fifty-eight million, four hundred twenty-six thousand".