2301214261248 has 714 divisors, whose sum is σ = 8035200701064. Its totient is φ = 656820928512.

The previous prime is 2301214261111. The next prime is 2301214261253. The reversal of 2301214261248 is 8421624121032.

2301214261248 is a `hidden beast` number, since 2 + 30 + 1 + 2 + 1 + 4 + 2 + 612 + 4 + 8 = 666.

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 41 ways as a sum of consecutive naturals, for example, 2341010965 + ... + 2341011947.

Almost surely, 2^{2301214261248} is an apocalyptic number.

2301214261248 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 2301214261248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017600350532).

2301214261248 is an abundant number, since it is smaller than the sum of its proper divisors (5733986439816).

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

2301214261248 is an frugal number, since it uses more digits than its factorization.

2301214261248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 2301214261248 in words is "two trillion, three hundred one billion, two hundred fourteen million, two hundred sixty-one thousand, two hundred forty-eight".