1538145648400 has 45 divisors (see below), whose sum is σ = 3695454513813. Its totient is φ = 615248337600.

The previous prime is 1538145648397. The next prime is 1538145648463. The reversal of 1538145648400 is 48465418351.

The square root of 1538145648400 is 1240220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 553732433424 + 984413214976 = 744132^2 + 992176^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 24773395 + ... + 24835405.

Almost surely, 2^{1538145648400} is an apocalyptic number.

1538145648400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1538145648400 is the 1240220-th square number.

It is an amenable number.

1538145648400 is an abundant number, since it is smaller than the sum of its proper divisors (2157308865413).

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

1538145648400 is an frugal number, since it uses more digits than its factorization.

1538145648400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124040 (or 62018 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 49.

Multiplying 1538145648400 by its sum of digits (49), we get a square (75369136771600 = 8681540²).

The spelling of 1538145648400 in words is "one trillion, five hundred thirty-eight billion, one hundred forty-five million, six hundred forty-eight thousand, four hundred".