45246296015100 has 360 divisors, whose sum is σ = 146996422095600. Its totient is φ = 12038905221120.

The previous prime is 45246296015099. The next prime is 45246296015119. The reversal of 45246296015100 is 151069264254.

45246296015100 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 6 + 29 + 601 + 5 + 10 + 0 = 666.

45246296015100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 13715153251 + ... + 13715156549.

It is an arithmetic number, because the mean of its divisors is an integer number (408323394710).

Almost surely, 2^{45246296015100} 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 45246296015100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73498211047800).

45246296015100 is an abundant number, since it is smaller than the sum of its proper divisors (101750126080500).

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

45246296015100 is a wasteful number, since it uses less digits than its factorization.

45246296015100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6571 (or 6555 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 45246296015100 in words is "forty-five trillion, two hundred forty-six billion, two hundred ninety-six million, fifteen thousand, one hundred".