45981870136020 has 1152 divisors, whose sum is σ = 185209265848320. Its totient is φ = 9377710433280.

The previous prime is 45981870135937. The next prime is 45981870136039. The reversal of 45981870136020 is 2063107818954.

45981870136020 is a `hidden beast` number, since 4 + 5 + 9 + 8 + 18 + 7 + 0 + 13 + 602 + 0 = 666.

45981870136020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45981870136020² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 11591092077 + ... + 11591096043.

It is an arithmetic number, because the mean of its divisors is an integer number (160771932160).

It is a 1-persistent number, because it is pandigital, but 2⋅45981870136020 = 91963740272040 is not.

Almost surely, 2^{45981870136020} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45981870136020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92604632924160).

45981870136020 is an abundant number, since it is smaller than the sum of its proper divisors (139227395712300).

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

45981870136020 is a wasteful number, since it uses less digits than its factorization.

45981870136020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5130 (or 5115 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 45981870136020 in words is "forty-five trillion, nine hundred eighty-one billion, eight hundred seventy million, one hundred thirty-six thousand, twenty".