45970308771840 has 624 divisors, whose sum is σ = 170235138777600. Its totient is φ = 11440156704768.

The previous prime is 45970308771839. The next prime is 45970308771841. The reversal of 45970308771840 is 4817780307954.

45970308771840 is a `hidden beast` number, since 4 + 597 + 0 + 30 + 8 + 7 + 7 + 1 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45970308771839) and next prime (45970308771841).

It is a super-2 number, since 2×45970308771840² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45970308771841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234541401 + ... + 234737319.

It is an arithmetic number, because the mean of its divisors is an integer number (272812722400).

Almost surely, 2^{45970308771840} is an apocalyptic number.

45970308771840 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 45970308771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85117569388800).

45970308771840 is an abundant number, since it is smaller than the sum of its proper divisors (124264830005760).

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

45970308771840 is a wasteful number, since it uses less digits than its factorization.

45970308771840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196040 (or 196015 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 45970308771840 in words is "forty-five trillion, nine hundred seventy billion, three hundred eight million, seven hundred seventy-one thousand, eight hundred forty".