1671013638090 has 96 divisors (see below), whose sum is σ = 4362755904000. Its totient is φ = 443746638720.

The previous prime is 1671013638061. The next prime is 1671013638097. The reversal of 1671013638090 is 908363101761.

1671013638090 is a `hidden beast` number, since 1 + 6 + 7 + 1 + 0 + 1 + 3 + 638 + 0 + 9 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1671013638097) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58065405 + ... + 58094175.

It is an arithmetic number, because the mean of its divisors is an integer number (45445374000).

Almost surely, 2^{1671013638090} is an apocalyptic number.

1671013638090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1671013638090 is an abundant number, since it is smaller than the sum of its proper divisors (2691742265910).

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

1671013638090 is a wasteful number, since it uses less digits than its factorization.

1671013638090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31452 (or 31449 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 1671013638090 in words is "one trillion, six hundred seventy-one billion, thirteen million, six hundred thirty-eight thousand, ninety".