147349965672000 has 1344 divisors, whose sum is σ = 669023978688000. Its totient is φ = 31089169612800.

The previous prime is 147349965671897. The next prime is 147349965672017. The reversal of 147349965672000 is 276569943741.

147349965672000 is a `hidden beast` number, since 1 + 4 + 7 + 3 + 49 + 9 + 6 + 567 + 20 + 0 + 0 = 666.

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

It is a super-3 number, since 3×147349965672000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 255239676 + ... + 255816324.

Almost surely, 2^{147349965672000} is an apocalyptic number.

147349965672000 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 147349965672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334511989344000).

147349965672000 is an abundant number, since it is smaller than the sum of its proper divisors (521674013016000).

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

147349965672000 is a wasteful number, since it uses less digits than its factorization.

147349965672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576718 (or 576679 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 147349965672000 in words is "one hundred forty-seven trillion, three hundred forty-nine billion, nine hundred sixty-five million, six hundred seventy-two thousand".