1245877341408 has 576 divisors, whose sum is σ = 4214395785600. Its totient is φ = 348908249088.

The previous prime is 1245877341347. The next prime is 1245877341413. The reversal of 1245877341408 is 8041437785421.

1245877341408 is a `hidden beast` number, since 1 + 24 + 587 + 7 + 34 + 1 + 4 + 0 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1420612266 + ... + 1420613142.

It is an arithmetic number, because the mean of its divisors is an integer number (7316659350).

Almost surely, 2^{1245877341408} is an apocalyptic number.

1245877341408 is a gapful number since it is divisible by the number (18) 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 1245877341408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2107197892800).

1245877341408 is an abundant number, since it is smaller than the sum of its proper divisors (2968518444192).

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

1245877341408 is a wasteful number, since it uses less digits than its factorization.

1245877341408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1159 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 1245877341408 in words is "one trillion, two hundred forty-five billion, eight hundred seventy-seven million, three hundred forty-one thousand, four hundred eight".