4952632284096 has 112 divisors (see below), whose sum is σ = 14980822464000. Its totient is φ = 1414564807680.

The previous prime is 4952632284091. The next prime is 4952632284133. The reversal of 4952632284096 is 6904822362594.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4952632284091) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3416286 + ... + 4645026.

Almost surely, 2^{4952632284096} 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 4952632284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7490411232000).

4952632284096 is an abundant number, since it is smaller than the sum of its proper divisors (10028190179904).

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

4952632284096 is a wasteful number, since it uses less digits than its factorization.

4952632284096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231762 (or 1231752 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 60.

The spelling of 4952632284096 in words is "four trillion, nine hundred fifty-two billion, six hundred thirty-two million, two hundred eighty-four thousand, ninety-six".