46845948248100 has 405 divisors, whose sum is σ = 153439801908393. Its totient is φ = 12363304181760.

The previous prime is 46845948248093. The next prime is 46845948248123. The reversal of 46845948248100 is 184284954864.

The square root of 46845948248100 is 6844410.

It is a perfect power (a square), and thus also a powerful number.

46845948248100 is a `hidden beast` number, since 4 + 6 + 8 + 4 + 5 + 9 + 482 + 48 + 100 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 45258529682916 + 1587418565184 = 6727446^2 + 1259928^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×46845948248100² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 69607649364 + ... + 69607650036.

Almost surely, 2^{46845948248100} is an apocalyptic number.

46845948248100 is the 6844410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46845948248100

46845948248100 is an abundant number, since it is smaller than the sum of its proper divisors (106593853660293).

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

46845948248100 is an equidigital number, since it uses as much as digits as its factorization.

46845948248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 46845948248100 in words is "forty-six trillion, eight hundred forty-five billion, nine hundred forty-eight million, two hundred forty-eight thousand, one hundred".