901829989632 has 432 divisors, whose sum is σ = 2848139654976. Its totient is φ = 251117568000.

The previous prime is 901829989609. The next prime is 901829989637. The reversal of 901829989632 is 236989928109.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901829989637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 344077282 + ... + 344079902.

It is an arithmetic number, because the mean of its divisors is an integer number (6592915868).

Almost surely, 2^901829989632 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 901829989632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424069827488).

901829989632 is an abundant number, since it is smaller than the sum of its proper divisors (1946309665344).

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

901829989632 is a wasteful number, since it uses less digits than its factorization.

901829989632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2918 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 901829989632 in words is "nine hundred one billion, eight hundred twenty-nine million, nine hundred eighty-nine thousand, six hundred thirty-two".