2146748338152 has 192 divisors, whose sum is σ = 6605216616960. Its totient is φ = 623972966400.

The previous prime is 2146748338129. The next prime is 2146748338169. The reversal of 2146748338152 is 2518338476412.

2146748338152 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 7 + 483 + 3 + 8 + 152 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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, 2387488 + ... + 3161264.

It is an arithmetic number, because the mean of its divisors is an integer number (34402169880).

Almost surely, 2^{2146748338152} is an apocalyptic number.

2146748338152 is a gapful number since it is divisible by the number (22) 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 2146748338152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302608308480).

2146748338152 is an abundant number, since it is smaller than the sum of its proper divisors (4458468278808).

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

2146748338152 is a wasteful number, since it uses less digits than its factorization.

2146748338152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773944 (or 773937 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 2146748338152 in words is "two trillion, one hundred forty-six billion, seven hundred forty-eight million, three hundred thirty-eight thousand, one hundred fifty-two".