1414600996900 has 243 divisors, whose sum is σ = 3869628427539. Its totient is φ = 447355359360.

The previous prime is 1414600996811. The next prime is 1414600996903. The reversal of 1414600996900 is 96990064141.

The square root of 1414600996900 is 1189370.

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

It can be written as a sum of positive squares in 4 ways, for example, as 364615499556 + 1049985497344 = 603834^2 + 1024688^2 .

It is a super-2 number, since 2×1414600996900² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (1414600996903) 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 80 ways as a sum of consecutive naturals, for example, 1082326047 + ... + 1082327353.

Almost surely, 2^{1414600996900} is an apocalyptic number.

1414600996900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1414600996900 is the 1189370-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414600996900

1414600996900 is an abundant number, since it is smaller than the sum of its proper divisors (2455027430639).

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

1414600996900 is a wasteful number, since it uses less digits than its factorization.

1414600996900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2668 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

Multiplying 1414600996900 by its sum of digits (49), we get a square (69315448848100 = 8325590²).

1414600996900 divided by its sum of digits (49) gives a square (28869408100 = 169910²).

The spelling of 1414600996900 in words is "one trillion, four hundred fourteen billion, six hundred million, nine hundred ninety-six thousand, nine hundred".