1536945946900 has 144 divisors (see below), whose sum is σ = 4246374464640. Its totient is φ = 469644940800.

The previous prime is 1536945946849. The next prime is 1536945946931. The reversal of 1536945946900 is 96495496351.

It is a super-2 number, since 2×1536945946900² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2648086 + ... + 3175885.

It is an arithmetic number, because the mean of its divisors is an integer number (29488711560).

Almost surely, 2^{1536945946900} is an apocalyptic number.

1536945946900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1536945946900 is an abundant number, since it is smaller than the sum of its proper divisors (2709428517740).

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

1536945946900 is a wasteful number, since it uses less digits than its factorization.

1536945946900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5824034 (or 5824027 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 61.

The spelling of 1536945946900 in words is "one trillion, five hundred thirty-six billion, nine hundred forty-five million, nine hundred forty-six thousand, nine hundred".