714920980900 has 243 divisors, whose sum is σ = 1851081445731. Its totient is φ = 238967070720.

The previous prime is 714920980847. The next prime is 714920980903. The reversal of 714920980900 is 9089029417.

The square root of 714920980900 is 845530.

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 175683369316 + 539237611584 = 419146^2 + 734328^2 .

It is a super-2 number, since 2×714920980900² (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 (714920980903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2781793572 + ... + 2781793828.

Almost surely, 2^714920980900 is an apocalyptic number.

714920980900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

714920980900 is the 845530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714920980900

714920980900 is an abundant number, since it is smaller than the sum of its proper divisors (1136160464831).

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

714920980900 is a wasteful number, since it uses less digits than its factorization.

714920980900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

Multiplying 714920980900 by its sum of digits (49), we get a square (35031128064100 = 5918710²).

714920980900 divided by its sum of digits (49) gives a square (14590224100 = 120790²).

The spelling of 714920980900 in words is "seven hundred fourteen billion, nine hundred twenty million, nine hundred eighty thousand, nine hundred".