45913942685520 has 1920 divisors, whose sum is σ = 201697170554880. Its totient is φ = 9514016870400.

The previous prime is 45913942685491. The next prime is 45913942685531. The reversal of 45913942685520 is 2558624931954.

45913942685520 is a `hidden beast` number, since 4 + 5 + 9 + 1 + 3 + 9 + 4 + 26 + 85 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17998408245 + ... + 17998410795.

It is an arithmetic number, because the mean of its divisors is an integer number (105050609664).

Almost surely, 2^{45913942685520} is an apocalyptic number.

45913942685520 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 45913942685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100848585277440).

45913942685520 is an abundant number, since it is smaller than the sum of its proper divisors (155783227869360).

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

45913942685520 is a wasteful number, since it uses less digits than its factorization.

45913942685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2830 (or 2811 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 45913942685520 in words is "forty-five trillion, nine hundred thirteen billion, nine hundred forty-two million, six hundred eighty-five thousand, five hundred twenty".