948467520000 has 3600 divisors, whose sum is σ = 4774142685312. Its totient is φ = 178053120000.

The previous prime is 948467519971. The next prime is 948467520017. The reversal of 948467520000 is 25764849.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 20180159977 + ... + 20180160023.

Almost surely, 2^948467520000 is an apocalyptic number.

948467520000 is a gapful number since it is divisible by the number (90) 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 948467520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2387071342656).

948467520000 is an abundant number, since it is smaller than the sum of its proper divisors (3825675165312).

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

948467520000 is a wasteful number, since it uses less digits than its factorization.

948467520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 948467520000 in words is "nine hundred forty-eight billion, four hundred sixty-seven million, five hundred twenty thousand".