7348291900416 has 528 divisors, whose sum is σ = 22750856878464. Its totient is φ = 2278815694848.

The previous prime is 7348291900403. The next prime is 7348291900441. The reversal of 7348291900416 is 6140091928437.

7348291900416 is a `hidden beast` number, since 7 + 34 + 8 + 2 + 9 + 190 + 0 + 416 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2342456800 + ... + 2342459936.

It is an arithmetic number, because the mean of its divisors is an integer number (43088744088).

Almost surely, 2^{7348291900416} 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 7348291900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375428439232).

7348291900416 is an abundant number, since it is smaller than the sum of its proper divisors (15402564978048).

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

7348291900416 is a wasteful number, since it uses less digits than its factorization.

7348291900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486 (or 3465 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 7348291900416 in words is "seven trillion, three hundred forty-eight billion, two hundred ninety-one million, nine hundred thousand, four hundred sixteen".