46545295104 has 864 divisors, whose sum is σ = 176778201600. Its totient is φ = 11426365440.

The previous prime is 46545295067. The next prime is 46545295169. The reversal of 46545295104 is 40159254564.

46545295104 is a `hidden beast` number, since 4 + 6 + 5 + 452 + 95 + 104 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 46545295104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 427021002 + ... + 427021110.

It is an arithmetic number, because the mean of its divisors is an integer number (204604400).

Almost surely, 2^46545295104 is an apocalyptic number.

46545295104 is a gapful number since it is divisible by the number (44) 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 46545295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88389100800).

46545295104 is an abundant number, since it is smaller than the sum of its proper divisors (130232906496).

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

46545295104 is a wasteful number, since it uses less digits than its factorization.

46545295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 46545295104 in words is "forty-six billion, five hundred forty-five million, two hundred ninety-five thousand, one hundred four".