949090754016 has 384 divisors, whose sum is σ = 2986415308800. Its totient is φ = 292492062720.

The previous prime is 949090754009. The next prime is 949090754041. The reversal of 949090754016 is 610457090949.

It is a happy number.

949090754016 is a `hidden beast` number, since 9 + 4 + 9 + 0 + 90 + 7 + 540 + 1 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88802625 + ... + 88813311.

It is an arithmetic number, because the mean of its divisors is an integer number (7777123200).

Almost surely, 2^949090754016 is an apocalyptic number.

949090754016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949090754016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493207654400).

949090754016 is an abundant number, since it is smaller than the sum of its proper divisors (2037324554784).

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

949090754016 is a wasteful number, since it uses less digits than its factorization.

949090754016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10879 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 949090754016 in words is "nine hundred forty-nine billion, ninety million, seven hundred fifty-four thousand, sixteen".