73408148352 has 576 divisors, whose sum is σ = 276980820480. Its totient is φ = 18232473600.

The previous prime is 73408148351. The next prime is 73408148353. The reversal of 73408148352 is 25384180437.

73408148352 is a `hidden beast` number, since 7 + 3 + 40 + 81 + 483 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (73408148351) and next prime (73408148353).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 73408148298 and 73408148307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73408148351) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22440477 + ... + 22443747.

It is an arithmetic number, because the mean of its divisors is an integer number (480869480).

Almost surely, 2^73408148352 is an apocalyptic number.

73408148352 is a gapful number since it is divisible by the number (72) 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 73408148352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138490410240).

73408148352 is an abundant number, since it is smaller than the sum of its proper divisors (203572672128).

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

73408148352 is a wasteful number, since it uses less digits than its factorization.

73408148352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 73408148352 in words is "seventy-three billion, four hundred eight million, one hundred forty-eight thousand, three hundred fifty-two".