1378861545600 has 1152 divisors, whose sum is σ = 6150036372480. Its totient is φ = 285775257600.

The previous prime is 1378861545599. The next prime is 1378861545601. The reversal of 1378861545600 is 65451688731.

It is a happy number.

1378861545600 is a `hidden beast` number, since 1 + 3 + 78 + 8 + 6 + 1 + 5 + 4 + 560 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1378861545599) and next prime (1378861545601).

It is a tau number, because it is divible by the number of its divisors (1152).

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 not an unprimeable number, because it can be changed into a prime (1378861545601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1425916317 + ... + 1425917283.

It is an arithmetic number, because the mean of its divisors is an integer number (5338573240).

Almost surely, 2^{1378861545600} is an apocalyptic number.

1378861545600 is a gapful number since it is divisible by the number (10) 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 1378861545600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075018186240).

1378861545600 is an abundant number, since it is smaller than the sum of its proper divisors (4771174826880).

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

1378861545600 is a wasteful number, since it uses less digits than its factorization.

1378861545600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1658 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 1378861545600 in words is "one trillion, three hundred seventy-eight billion, eight hundred sixty-one million, five hundred forty-five thousand, six hundred".