2146328648100 has 216 divisors, whose sum is σ = 8280059278400. Its totient is φ = 452851741440.

The previous prime is 2146328648077. The next prime is 2146328648131. The reversal of 2146328648100 is 18468236412.

2146328648100 is a `hidden beast` number, since 2 + 1 + 4 + 632 + 8 + 6 + 4 + 8 + 1 + 0 + 0 = 666.

It is a super-2 number, since 2×2146328648100² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13021450 + ... + 13185249.

Almost surely, 2^{2146328648100} is an apocalyptic number.

2146328648100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2146328648100 is an abundant number, since it is smaller than the sum of its proper divisors (6133730630300).

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

2146328648100 is a wasteful number, since it uses less digits than its factorization.

2146328648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26206739 (or 26206729 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 2146328648100 in words is "two trillion, one hundred forty-six billion, three hundred twenty-eight million, six hundred forty-eight thousand, one hundred".