147012033326400 has 840 divisors, whose sum is σ = 595341904116960. Its totient is φ = 35286382080000.

The previous prime is 147012033326381. The next prime is 147012033326443. The reversal of 147012033326400 is 4623330210741.

147012033326400 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 1 + 2 + 0 + 3 + 3 + 3 + 2 + 640 + 0 = 666.

It is a super-2 number, since 2×147012033326400² (a number of 29 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 143475091 + ... + 144496109.

It is an arithmetic number, because the mean of its divisors is an integer number (708740362044).

Almost surely, 2^{147012033326400} is an apocalyptic number.

147012033326400 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 147012033326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297670952058480).

147012033326400 is an abundant number, since it is smaller than the sum of its proper divisors (448329870790560).

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

147012033326400 is a wasteful number, since it uses less digits than its factorization.

147012033326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021165 (or 1021141 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 147012033326400 in words is "one hundred forty-seven trillion, twelve billion, thirty-three million, three hundred twenty-six thousand, four hundred".