953920148848128 has 3200 divisors, whose sum is σ = 3748023436861440. Its totient is φ = 234363673313280.

The previous prime is 953920148848057. The next prime is 953920148848151. The reversal of 953920148848128 is 821848841029359.

953920148848128 is a `hidden beast` number, since 9 + 5 + 3 + 92 + 0 + 1 + 488 + 48 + 12 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1823939098875 + ... + 1823939099397.

Almost surely, 2^{953920148848128} 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 953920148848128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874011718430720).

953920148848128 is an abundant number, since it is smaller than the sum of its proper divisors (2794103288013312).

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

953920148848128 is a wasteful number, since it uses less digits than its factorization.

953920148848128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 318504960, while the sum is 72.

The spelling of 953920148848128 in words is "nine hundred fifty-three trillion, nine hundred twenty billion, one hundred forty-eight million, eight hundred forty-eight thousand, one hundred twenty-eight".