73333746162144 has 384 divisors, whose sum is σ = 232318969344000. Its totient is φ = 22371006228480.

The previous prime is 73333746162143. The next prime is 73333746162151. The reversal of 73333746162144 is 44126164733337.

73333746162144 is a `hidden beast` number, since 7 + 3 + 3 + 3 + 3 + 7 + 4 + 6 + 1 + 621 + 4 + 4 = 666.

73333746162144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73333746162143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1608208657 + ... + 1608254255.

It is an arithmetic number, because the mean of its divisors is an integer number (604997316000).

Almost surely, 2^{73333746162144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73333746162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116159484672000).

73333746162144 is an abundant number, since it is smaller than the sum of its proper divisors (158985223181856).

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

73333746162144 is a wasteful number, since it uses less digits than its factorization.

73333746162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46855 (or 46841 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 54.

The spelling of 73333746162144 in words is "seventy-three trillion, three hundred thirty-three billion, seven hundred forty-six million, one hundred sixty-two thousand, one hundred forty-four".