141145804800000 has 7680 divisors, whose sum is σ = 749311998462720. Its totient is φ = 25480396800000.

The previous prime is 141145804799981. The next prime is 141145804800019. The reversal of 141145804800000 is 8408541141.

141145804800000 is a `hidden beast` number, since 14 + 114 + 58 + 0 + 480 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (141145804799981) and next prime (141145804800019).

It is a tau number, because it is divible by the number of its divisors (7680).

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 8302694399992 + ... + 8302694400008.

Almost surely, 2^{141145804800000} is an apocalyptic number.

141145804800000 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 141145804800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374655999231360).

141145804800000 is an abundant number, since it is smaller than the sum of its proper divisors (608166193662720).

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

141145804800000 is an frugal number, since it uses more digits than its factorization.

141145804800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 141145804800000 in words is "one hundred forty-one trillion, one hundred forty-five billion, eight hundred four million, eight hundred thousand".