900771024338091 has 48 divisors (see below), whose sum is σ = 1367473121414400. Its totient is φ = 570263233231296.

The previous prime is 900771024338071. The next prime is 900771024338111. The reversal of 900771024338091 is 190833420177009.

900771024338091 is a `hidden beast` number, since 9 + 0 + 0 + 7 + 7 + 10 + 243 + 380 + 9 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (900771024338071) and next prime (900771024338111).

It is not a de Polignac number, because 900771024338091 - 2¹⁸ = 900771024075947 is a prime.

It is a super-2 number, since 2×900771024338091² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (900771024338071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2123782041 + ... + 2124206133.

It is an arithmetic number, because the mean of its divisors is an integer number (28489023362800).

Almost surely, 2^{900771024338091} is an apocalyptic number.

900771024338091 is a deficient number, since it is larger than the sum of its proper divisors (466702097076309).

900771024338091 is a wasteful number, since it uses less digits than its factorization.

900771024338091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498080 (or 498077 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 900771024338091 in words is "nine hundred trillion, seven hundred seventy-one billion, twenty-four million, three hundred thirty-eight thousand, ninety-one".