1378509048 has 192 divisors, whose sum is σ = 4497292800. Its totient is φ = 372936960.

The previous prime is 1378509017. The next prime is 1378509101. The reversal of 1378509048 is 8409058731.

1378509048 is a `hidden beast` number, since 137 + 8 + 509 + 0 + 4 + 8 = 666.

It is a super-4 number, since 4×1378509048⁴ (a number of 38 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1378508994 and 1378509012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1262983 + ... + 1264073.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 2^1378509048 is an apocalyptic number.

1378509048 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 1378509048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248646400).

1378509048 is an abundant number, since it is smaller than the sum of its proper divisors (3118783752).

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

1378509048 is a wasteful number, since it uses less digits than its factorization.

1378509048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1378509048 is about 37128.2782795001. The cubic root of 1378509048 is about 1112.9351875328.

The spelling of 1378509048 in words is "one billion, three hundred seventy-eight million, five hundred nine thousand, forty-eight".