1458949936900 has 135 divisors (see below), whose sum is σ = 3303591584601. Its totient is φ = 559253472960.

The previous prime is 1458949936861. The next prime is 1458949936973. The reversal of 1458949936900 is 96399498541.

The square root of 1458949936900 is 1207870.

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

It can be written as a sum of positive squares in 7 ways, for example, as 298883076804 + 1160066860096 = 546702^2 + 1077064^2 .

It is a super-2 number, since 2×1458949936900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian 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 44 ways as a sum of consecutive naturals, for example, 27527357274 + ... + 27527357326.

Almost surely, 2^{1458949936900} is an apocalyptic number.

1458949936900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1458949936900 is the 1207870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1458949936900

1458949936900 is an abundant number, since it is smaller than the sum of its proper divisors (1844641647701).

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

1458949936900 is an frugal number, since it uses more digits than its factorization.

1458949936900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 75582720, while the sum is 67.

The spelling of 1458949936900 in words is "one trillion, four hundred fifty-eight billion, nine hundred forty-nine million, nine hundred thirty-six thousand, nine hundred".