1338767550 has 144 divisors (see below), whose sum is σ = 3909035520. Its totient is φ = 327240000.

The previous prime is 1338767543. The next prime is 1338767557. The reversal of 1338767550 is 557678331.

1338767550 is a `hidden beast` number, since 1 + 3 + 38 + 7 + 67 + 550 = 666.

It is an interprime number because it is at equal distance from previous prime (1338767543) and next prime (1338767557).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1338767496 and 1338767505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1338767557) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 262525 + ... + 267575.

It is an arithmetic number, because the mean of its divisors is an integer number (27146080).

Almost surely, 2^1338767550 is an apocalyptic number.

1338767550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1338767550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1954517760).

1338767550 is an abundant number, since it is smaller than the sum of its proper divisors (2570267970).

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

1338767550 is a wasteful number, since it uses less digits than its factorization.

1338767550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5119 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 1338767550 is about 36589.1725787835. The cubic root of 1338767550 is about 1102.1356718040.

It can be divided in two parts, 13387675 and 50, that added together give a triangular number (13387725 = T₅₁₇₄).

The spelling of 1338767550 in words is "one billion, three hundred thirty-eight million, seven hundred sixty-seven thousand, five hundred fifty".