949201231104 has 576 divisors, whose sum is σ = 3320110080000. Its totient is φ = 267333212160.

The previous prime is 949201231093. The next prime is 949201231109. The reversal of 949201231104 is 401132102949.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (949201231109) 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, 168325117 + ... + 168330755.

It is an arithmetic number, because the mean of its divisors is an integer number (5764080000).

Almost surely, 2^949201231104 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 949201231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660055040000).

949201231104 is an abundant number, since it is smaller than the sum of its proper divisors (2370908848896).

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

949201231104 is an equidigital number, since it uses as much as digits as its factorization.

949201231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5756 (or 5722 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 949201231104 in words is "nine hundred forty-nine billion, two hundred one million, two hundred thirty-one thousand, one hundred four".