2046555671400 has 264 divisors, whose sum is σ = 7137363799830. Its totient is φ = 545745029760.

The previous prime is 2046555671371. The next prime is 2046555671423. The reversal of 2046555671400 is 41765556402.

2046555671400 is a `hidden beast` number, since 2 + 0 + 46 + 5 + 5 + 567 + 1 + 40 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1064565841284 + 981989830116 = 1031778^2 + 990954^2 .

It is a super-2 number, since 2×2046555671400² (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 65 ways as a sum of consecutive naturals, for example, 11723154 + ... + 11896446.

Almost surely, 2^{2046555671400} is an apocalyptic number.

2046555671400 is a gapful number since it is divisible by the number (20) 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 2046555671400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568681899915).

2046555671400 is an abundant number, since it is smaller than the sum of its proper divisors (5090808128430).

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

2046555671400 is an equidigital number, since it uses as much as digits as its factorization.

2046555671400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173339 (or 173303 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 2046555671400 in words is "two trillion, forty-six billion, five hundred fifty-five million, six hundred seventy-one thousand, four hundred".