900764852346 has 128 divisors (see below), whose sum is σ = 2063447654400. Its totient is φ = 291103606080.

The previous prime is 900764852321. The next prime is 900764852347. The reversal of 900764852346 is 643258467009.

900764852346 is a `hidden beast` number, since 9 + 0 + 0 + 76 + 4 + 8 + 523 + 46 = 666.

900764852346 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×900764852346² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 900764852292 and 900764852301.

It is not an unprimeable number, because it can be changed into a prime (900764852347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219108831 + ... + 219112941.

It is an arithmetic number, because the mean of its divisors is an integer number (16120684800).

Almost surely, 2^900764852346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 900764852346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031723827200).

900764852346 is an abundant number, since it is smaller than the sum of its proper divisors (1162682802054).

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

900764852346 is a wasteful number, since it uses less digits than its factorization.

900764852346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4841 (or 4835 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 900764852346 in words is "nine hundred billion, seven hundred sixty-four million, eight hundred fifty-two thousand, three hundred forty-six".