29801947501456 has 135 divisors (see below), whose sum is σ = 62917116458931. Its totient is φ = 13668927697152.

The previous prime is 29801947501429. The next prime is 29801947501499. The reversal of 29801947501456 is 65410574910892.

The square root of 29801947501456 is 5459116.

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 13784022483856 + 16017925017600 = 3712684^2 + 4002240^2 .

It is a super-2 number, since 2×29801947501456² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29801947501394 and 29801947501403.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 78633106675 + ... + 78633107053.

Almost surely, 2^{29801947501456} is an apocalyptic number.

29801947501456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

29801947501456 is the 5459116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29801947501456

29801947501456 is an abundant number, since it is smaller than the sum of its proper divisors (33115168957475).

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

29801947501456 is an frugal number, since it uses more digits than its factorization.

29801947501456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 61.

The spelling of 29801947501456 in words is "twenty-nine trillion, eight hundred one billion, nine hundred forty-seven million, five hundred one thousand, four hundred fifty-six".