46954158100 has 144 divisors (see below), whose sum is σ = 114625007280. Its totient is φ = 16605388800.

The previous prime is 46954158073. The next prime is 46954158107. The reversal of 46954158100 is 185145964.

It can be written as a sum of positive squares in 24 ways, for example, as 8210534544 + 38743623556 = 90612^2 + 196834^2 .

It is a super-2 number, since 2×46954158100² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46954158107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811230 + ... + 1836970.

It is an arithmetic number, because the mean of its divisors is an integer number (796006995).

Almost surely, 2^46954158100 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 46954158100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312503640).

46954158100 is an abundant number, since it is smaller than the sum of its proper divisors (67670849180).

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

46954158100 is a wasteful number, since it uses less digits than its factorization.

46954158100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25838 (or 25831 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 43.

The spelling of 46954158100 in words is "forty-six billion, nine hundred fifty-four million, one hundred fifty-eight thousand, one hundred".