1454961967900 has 144 divisors (see below), whose sum is σ = 3655556029440. Its totient is φ = 492317280000.

The previous prime is 1454961967897. The next prime is 1454961967903. The reversal of 1454961967900 is 97691694541.

It is an interprime number because it is at equal distance from previous prime (1454961967897) and next prime (1454961967903).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454961967903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179776254 + ... + 179784346.

It is an arithmetic number, because the mean of its divisors is an integer number (25385805760).

Almost surely, 2^{1454961967900} is an apocalyptic number.

1454961967900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1454961967900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827778014720).

1454961967900 is an abundant number, since it is smaller than the sum of its proper divisors (2200594061540).

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

1454961967900 is a wasteful number, since it uses less digits than its factorization.

1454961967900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 1454961967900 in words is "one trillion, four hundred fifty-four billion, nine hundred sixty-one million, nine hundred sixty-seven thousand, nine hundred".