147228067584000 has 1920 divisors, whose sum is σ = 601118836718400. Its totient is φ = 35622656409600.

The previous prime is 147228067583999. The next prime is 147228067584133. The reversal of 147228067584000 is 485760822741.

147228067584000 is a `hidden beast` number, since 1 + 4 + 7 + 228 + 0 + 6 + 7 + 5 + 8 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×147228067584000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 15904507372 + ... + 15904516628.

Almost surely, 2^{147228067584000} is an apocalyptic number.

147228067584000 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 147228067584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300559418359200).

147228067584000 is an abundant number, since it is smaller than the sum of its proper divisors (453890769134400).

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

147228067584000 is an equidigital number, since it uses as much as digits as its factorization.

147228067584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9378 (or 9339 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 147228067584000 in words is "one hundred forty-seven trillion, two hundred twenty-eight billion, sixty-seven million, five hundred eighty-four thousand".