3351148416000 has 2816 divisors, whose sum is σ = 15818429952000. Its totient is φ = 693633024000.

The previous prime is 3351148415981. The next prime is 3351148416071. The reversal of 3351148416000 is 6148411533.

3351148416000 is a `hidden beast` number, since 3 + 3 + 5 + 1 + 1 + 4 + 8 + 41 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

It is a super-4 number, since 4×3351148416000⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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 255 ways as a sum of consecutive naturals, for example, 13039487872 + ... + 13039488128.

Almost surely, 2^{3351148416000} is an apocalyptic number.

3351148416000 is a gapful number since it is divisible by the number (30) 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 3351148416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7909214976000).

3351148416000 is an abundant number, since it is smaller than the sum of its proper divisors (12467281536000).

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

3351148416000 is a wasteful number, since it uses less digits than its factorization.

3351148416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 3351148416000 in words is "three trillion, three hundred fifty-one billion, one hundred forty-eight million, four hundred sixteen thousand".