10181146248000 has 1344 divisors, whose sum is σ = 45079800030720. Its totient is φ = 2135863296000.

The previous prime is 10181146247969. The next prime is 10181146248023. The reversal of 10181146248000 is 84264118101.

10181146248000 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 114 + 62 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1172803660 + ... + 1172812340.

It is an arithmetic number, because the mean of its divisors is an integer number (33541517880).

Almost surely, 2^{10181146248000} is an apocalyptic number.

10181146248000 is a gapful number since it is divisible by the number (10) 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 10181146248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22539900015360).

10181146248000 is an abundant number, since it is smaller than the sum of its proper divisors (34898653782720).

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

10181146248000 is a wasteful number, since it uses less digits than its factorization.

10181146248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8913 (or 8890 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 10181146248000 in words is "ten trillion, one hundred eighty-one billion, one hundred forty-six million, two hundred forty-eight thousand".