942553006872048 has 480 divisors, whose sum is σ = 3233938019719680. Its totient is φ = 252172588124160.

The previous prime is 942553006872047. The next prime is 942553006872049. The reversal of 942553006872048 is 840278600355249.

942553006872048 is a `hidden beast` number, since 9 + 4 + 2 + 553 + 0 + 0 + 6 + 8 + 72 + 0 + 4 + 8 = 666.

942553006872048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (942553006872047) and next prime (942553006872049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942553006872047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9144999811 + ... + 9145102877.

It is an arithmetic number, because the mean of its divisors is an integer number (6737370874416).

Almost surely, 2^{942553006872048} 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 942553006872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616969009859840).

942553006872048 is an abundant number, since it is smaller than the sum of its proper divisors (2291385012847632).

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

942553006872048 is a wasteful number, since it uses less digits than its factorization.

942553006872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122437 (or 122428 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 942553006872048 in words is "nine hundred forty-two trillion, five hundred fifty-three billion, six million, eight hundred seventy-two thousand, forty-eight".