87414451641 has 40 divisors (see below), whose sum is σ = 142639543200. Its totient is φ = 52909148160.

The previous prime is 87414451627. The next prime is 87414451687. The reversal of 87414451641 is 14615441478.

87414451641 is a `hidden beast` number, since 8 + 7 + 41 + 445 + 164 + 1 = 666.

It is not a de Polignac number, because 87414451641 - 2¹⁴ = 87414435257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (87414451141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 621390 + ... + 748968.

It is an arithmetic number, because the mean of its divisors is an integer number (3565988580).

Almost surely, 2^87414451641 is an apocalyptic number.

87414451641 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

87414451641 is a deficient number, since it is larger than the sum of its proper divisors (55225091559).

87414451641 is a wasteful number, since it uses less digits than its factorization.

87414451641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128371 (or 128362 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The spelling of 87414451641 in words is "eighty-seven billion, four hundred fourteen million, four hundred fifty-one thousand, six hundred forty-one".