1377545946 has 128 divisors (see below), whose sum is σ = 3424813056. Its totient is φ = 360771840.

The previous prime is 1377545941. The next prime is 1377545959. The reversal of 1377545946 is 6495457731.

It is not an unprimeable number, because it can be changed into a prime (1377545941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4701376 + ... + 4701668.

It is an arithmetic number, because the mean of its divisors is an integer number (26756352).

Almost surely, 2^1377545946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377545946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712406528).

1377545946 is an abundant number, since it is smaller than the sum of its proper divisors (2047267110).

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

1377545946 is a wasteful number, since it uses less digits than its factorization.

1377545946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516.

The product of its digits is 3175200, while the sum is 51.

The square root of 1377545946 is about 37115.3060879201. The cubic root of 1377545946 is about 1112.6759413020.

The spelling of 1377545946 in words is "one billion, three hundred seventy-seven million, five hundred forty-five thousand, nine hundred forty-six".