45781101358080 has 1408 divisors, whose sum is σ = 177455618242560. Its totient is φ = 9942073344000.

The previous prime is 45781101358073. The next prime is 45781101358087. The reversal of 45781101358080 is 8085310118754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45781101358073) and next prime (45781101358087).

It is a tau number, because it is divible by the number of its divisors (1408).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (45781101358087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5914103010 + ... + 5914110750.

Almost surely, 2^{45781101358080} is an apocalyptic number.

45781101358080 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 45781101358080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88727809121280).

45781101358080 is an abundant number, since it is smaller than the sum of its proper divisors (131674516884480).

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

45781101358080 is a wasteful number, since it uses less digits than its factorization.

45781101358080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7897 (or 7879 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 51.

The spelling of 45781101358080 in words is "forty-five trillion, seven hundred eighty-one billion, one hundred one million, three hundred fifty-eight thousand, eighty".