281620601640 has 96 divisors (see below), whose sum is σ = 1046019386880. Its totient is φ = 64370422656.

The previous prime is 281620601627. The next prime is 281620601677. The reversal of 281620601640 is 46106026182.

281620601640 is a `hidden beast` number, since 2 + 8 + 1 + 6 + 2 + 0 + 6 + 0 + 1 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 281620601595 and 281620601604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55874584 + ... + 55879623.

It is an arithmetic number, because the mean of its divisors is an integer number (10896035280).

Almost surely, 2^281620601640 is an apocalyptic number.

281620601640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

281620601640 is an abundant number, since it is smaller than the sum of its proper divisors (764398785240).

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

281620601640 is a wasteful number, since it uses less digits than its factorization.

281620601640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111754231 (or 111754224 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 281620601640 in words is "two hundred eighty-one billion, six hundred twenty million, six hundred one thousand, six hundred forty".