145443916800 has 1188 divisors, whose sum is σ = 653036494656. Its totient is φ = 30656102400.

The previous prime is 145443916763. The next prime is 145443916819. The reversal of 145443916800 is 8619344541.

145443916800 is a `hidden beast` number, since 1 + 4 + 54 + 439 + 168 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 146764305 + ... + 146765295.

Almost surely, 2^145443916800 is an apocalyptic number.

145443916800 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 145443916800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326518247328).

145443916800 is an abundant number, since it is smaller than the sum of its proper divisors (507592577856).

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

145443916800 is a wasteful number, since it uses less digits than its factorization.

145443916800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 145443916800 in words is "one hundred forty-five billion, four hundred forty-three million, nine hundred sixteen thousand, eight hundred".