901643952352 has 144 divisors (see below), whose sum is σ = 2102583359520. Its totient is φ = 378071147520.

The previous prime is 901643952337. The next prime is 901643952371. The reversal of 901643952352 is 253259346109.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 901643952296 and 901643952305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94576578 + ... + 94586110.

It is an arithmetic number, because the mean of its divisors is an integer number (14601273330).

Almost surely, 2^901643952352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901643952352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051291679760).

901643952352 is an abundant number, since it is smaller than the sum of its proper divisors (1200939407168).

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

901643952352 is a wasteful number, since it uses less digits than its factorization.

901643952352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457 (or 11438 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 49.

The spelling of 901643952352 in words is "nine hundred one billion, six hundred forty-three million, nine hundred fifty-two thousand, three hundred fifty-two".