2121265446048 has 324 divisors, whose sum is σ = 7406005394970. Its totient is φ = 574175734272.

The previous prime is 2121265446031. The next prime is 2121265446071. The reversal of 2121265446048 is 8406445621212.

2121265446048 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 2 + 6 + 544 + 60 + 48 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1273223370384 + 848042075664 = 1128372^2 + 920892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2121265445994 and 2121265446012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 4886238 + ... + 5302626.

Almost surely, 2^{2121265446048} is an apocalyptic number.

2121265446048 is a gapful number since it is divisible by the number (28) 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 2121265446048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703002697485).

2121265446048 is an abundant number, since it is smaller than the sum of its proper divisors (5284739948922).

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

2121265446048 is a wasteful number, since it uses less digits than its factorization.

2121265446048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416457 (or 416420 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2121265446048 in words is "two trillion, one hundred twenty-one billion, two hundred sixty-five million, four hundred forty-six thousand, forty-eight".